Dalam artikel Matematika kelas 7 kali ini, kita akan belajar rumus segitiga serta cara menghitung keliling dan luas segitiga. Yuk, simak selengkapnya!
—
Pagi ini, Dafa sedang membantu ayahnya merapikan taman di belakang rumah. Ia membantu mencabuti rumput dan membersihkan daun-daun kering yang berserakan. Rencananya, ayah Dafa ingin memasang rumput sintetis, supaya lebih praktis dan perawatannya juga lebih mudah.
Nah, kebetulan, taman di rumah Dafa ini berbentuk segitiga dengan dua sisi yang tegak lurus. Ilustrasinya seperti gambar di bawah ini:
Namun, ayah Dafa merasa bingung nih untuk menentukan, berapa luas rumput sintetis yang dibutuhkan. Kamu tahu nggak gimana caranya???
Teman-teman, sebenarnya, untuk kasus di atas, kita bisa menyelesaikannya dengan cukup mudah, loh! Jadi, untuk menentukan luas rumput sintetis yang dibutuhkan, kita tinggal menghitung luas bangunnya saja, alias luas si tamannya. Karena taman rumah Dafa berbentuk segitiga, maka kita bisa hitung dulu luas segitiganya.
Hmm, apa ya rumus luas segitiga itu?
Tenang, di artikel kali ini, kita akan membahas rumus luas dan keliling segitiga, serta cara menghitungnya. Yuk, langsung saja kita simak pembahasannya!
Baca Juga: Serba-Seri Segitiga: Garis, Sudut, dan Bangun Istimewa
Oke, sebelum kamu mengetahui rumus luas segitiga, kita bahas dulu mengenai rumus keliling segitiga dan cara menghitungnya yaaah. Soalnya, rumus keliling ini juga bisa digunakan untuk menghitung luas segitiga nanti.
Perlu kamu ketahui nih, keliling suatu bangun datar merupakan gabungan dari jumlah panjang sisi yang membatasinya. Kalau segitiga itu kan ada tiga sisi, jadi kalau mau menghitung kelilingnya, dapat dihitung dengan cara menjumlahkan panjang dari setiap sisi dari segitiga tersebut.
Coba kamu perhatikan segitiga di atas yang punya 3 sisi, yaitu AB, BC, dan CA. Nah, untuk menghitung keliling segitiga, kamu bisa menggunakan rumus berikut ini!
Rumus Keliling Segitiga
Contoh soal:
Diketahui segitiga ABC dengan panjang sisi-sisinya seperti gambar di bawah ini:
(Sumber: roboguru.com)
Hitunglah keliling segitiga ABC di atas!
Pembahasan:
Diketahui:
Panjang sisi AB = 4 cm
Panjang sisi BC = 5 cm
Panjang sisi CA = 3 cm
Keliling segitiga = Jumlah panjang sisi-sisinya
Keliling segitiga = AB + BC + CA = 4 cm + 5 cm + 3 cm =12 cm
Jadi, keliling segitiga ABC di atas adalah 12 cm.
Gimana, mudah ya! Kalau begitu, kita lanjut ke rumus berikutnya.
Baca Juga: Mengenal Berbagai Jenis Segitiga berdasarkan Sisi dan Sudut
Rumus dan Cara Menghitung Luas Segitiga
Ada dua cara nih untuk mencari tahu luas segitiga. Pertama, kamu bisa menghitungnya berdasarkan alas dan tinggi segitiga. Kalau cara yang kedua, kamu bisa menghitungnya berdasarkan panjang sisi-sisinya.
Cara Menghitung Luas Segitiga berdasarkan Alas dan Tinggi
Cara menghitung luas segitiga itu nggak sulit, kok! Coba kamu perhatikan segitiga ABC berikut ini, ya!
(Sumber: Cilacap Klik)
Nah, kalau kamu perhatikan, ada garis yang selalu tegak lurus dari alas segitiga ke titik puncak segitiga. Nah, garis AO yang tegak lurus itulah yang kita sebut sebagai tinggi segitiga (t), sedangkan BC merupakan alas segitiga (a), dan garis AB, AC merupakan sisi miring segitiga.
Lalu, gimana rumus mencari luas segitiga berdasarkan alas dan tinggi?
Rumus Luas Segitiga jika Diketahui Alas dan Tinggi
Jadi, rumus luas segitiga adalah setengah dikali alas, dikali tinggi.
Contoh soal:
Diketahui segitiga ABC memiliki tinggi 6 cm dan alas 8 cm. Tentukan luas segitiga tersebut!
Pembahasan:
Diketahui:
Tinggi segitiga = t = 6 cm
Alas segitiga = a = 8 cm
Luas segitiga = 1/2 × alas × tinggi
Luas segitiga = 1/2 × a × t = 1/2 × 8 cm × 6 cm = 24 cm2
Jadi, luas segitiga ABC di atas adalah 24 cm2.
Cara Menghitung Luas Segitiga berdasarkan Panjang Sisi
Nah, selain kamu bisa menghitung luas segitiga berdasarkan alas dan tingginya, rumus luas segitiga juga dapat kamu cari menggunakan panjang ketiga sisinya, ya. Rumus ini biasanya bisa digunakan untuk mencari luas segitiga sembarang. Coba perhatikan segitiga berikut!
Pada segitiga ABC, diketahui:
Panjang BC = a
Panjang CA = b
Panjang AB = c
Panjang masing-masing sisi segitiga tersebut jika dijumlahkan akan mendapatkan hasil keliling segitiga. Coba lihat lagi rumus keliling segitiga yang ada di poin sebelumnya, ya.
Nah, untuk rumus mencari luas segitiga berdasarkan panjang sisinya, maka kamu harus mencari besar dari setengah keliling segitiga dahulu, yang dilambangkan dengan s.
Setelah mendapatkan hasil dari setengah keliling segitiga (s), kamu tinggal masukin deh rumus untuk menghitung luas segitiga berdasarkan panjang sisi.
Rumus Luas Segitiga jika Diketahui Panjang Sisi
Contoh soal:
Diketahui sebuah segitiga memiliki sisi a sebesar 8 cm, sisi b sebesar 12 cm, dan sisi c sebesar 10 cm. Berapakah luas segitiga tersebut?
Pembahasan:
Diketahui:
a = 8 cm, b = 12 cm, c = 10 cm
Pertama, kita cari tahu dulu nilai s nya.
s = 1/2 × keliling segitiga
s = 1/2 × (a + b + c) = 1/2 × (8 + 12 + 10) = 1/2 × 30 = 15
Setelah nilai s sudah kita temukan, nilainya bisa langsung kita masukkan ke dalam rumus:
Luas segitiga =
Jadi, luas segitiga di atas adalah 15√7 cm2.
Baca Juga: Apa Saja Bagian-Bagian dan Properti Sudut?
Penerapan Rumus Luas dan Keliling Segitiga pada Soal Cerita
Nah, teman-teman, kamu masih ingat kan dengan masalah ayahnya Dafa yang ingin menentukan luas rumput sintetis untuk taman di belakang rumahnya? Sebelumnya kan sudah diberi tahu ya, untuk mengetahui luas rumput sintetis yang dibutuhkan, kita tinggal menghitung luas taman yang bentuknya segitiga.
Diketahui:
Alas taman = alas segitiga = 4 m
Tinggi taman = tinggi segitiga = 3 m
Penyelesaian:
Luas taman = luas segitiga = 1/2 × a × t = 1/2 × 4 m × 3 m = 6 m2.
Jadi, luas taman di atas adalah 6 m2. Oleh karena itu, luas rumput sintetis yang dibutuhkan ayah Dafa juga 6 m2.
Nah, misalnya, harga rumput sintetis adalah Rp135.000,00/m2. Maka, kita bisa menghitung biaya yang dibutuhkan untuk membeli rumput sintetis itu dengan cara:
Biaya = Harga per meter × Luas rumput sintetis
Biaya = Rp135.000,00/m2 × 6 m2 = Rp810.000,00.
Jadi, biaya yang dibutuhkan ayah Dafa untuk membeli rumput sintetis dengan luas 6m2 adalah sebesar Rp810.000,00.
—
Oke, itu lah penjelasan rumus segitiga serta cara menghitung keliling dan luas segitiga. Mudah bukan? Kalau kamu masih ingin belajar matematika lebih banyak lagi, dan tentunya dengan cara yang seru, yuk langganan ruangbelajar sekarang juga!
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<h1 class="content-title">
Rumus dan Cara Menghitung Keliling & Luas Segitiga | Matematika Kelas 7 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/hani-ammariah" class="">Hani Ammariah</a> </p>
<p class="content-info"><span>July 26, 2024 • </span> <span>5 minutes read</span></p>
<br />
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<p style="text-align: center;"><img decoding="async" style="height: auto; max-width: 100%; width: 820px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Header%20-%20Matematika%20Kelas%207%20-%20Cara%20Menghitung%20Luas%20dan%20Keliling%20Lingkaran.png" alt="Header - Matematika Kelas 7 - Cara Menghitung Luas dan Keliling Lingkaran" /></p>
<blockquote>
<p style="text-align: center;"><em>Dalam </em><span style="font-style: italic;">artikel </span><em><strong><a href="/blog/tag/matematika-vii" rel="noopener">Matematika kelas 7</a></strong> kali ini, kita akan belajar <strong>rumus segitiga</strong> serta cara menghitung keliling dan luas segitiga. Yuk, simak selengkapnya!</em></p>
<p style="text-align: center;"><em>—</em></p>
</blockquote>
<p> </p>
<p style="text-align: justify;">Pagi ini, Dafa sedang membantu ayahnya merapikan taman di belakang rumah. Ia membantu mencabuti rumput dan membersihkan daun-daun kering yang berserakan. Rencananya, ayah Dafa ingin memasang rumput sintetis, supaya lebih praktis dan perawatannya juga lebih mudah.</p>
<p style="text-align: justify;">Nah, kebetulan, taman di rumah Dafa ini berbentuk segitiga dengan dua sisi yang tegak lurus. Ilustrasinya seperti gambar di bawah ini:</p>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Ilustrasi%20Halaman%20Rumah%20Berbentuk%20Segitiga%20-%20Cara%20Menghitung%20Luas%20dan%20Keliling%20Segitiga%20-%20Matematika%20Kelas%207.png" alt="Ilustrasi Halaman Rumah Berbentuk Segitiga - Cara Menghitung Luas dan Keliling Segitiga - Matematika Kelas 7" /></p>
<p> </p>
<p style="text-align: justify;">Namun, ayah Dafa merasa bingung nih untuk menentukan, berapa luas rumput sintetis yang dibutuhkan. Kamu tahu nggak gimana caranya???</p>
<p style="text-align: justify;">Teman-teman, sebenarnya, untuk kasus di atas, kita bisa menyelesaikannya dengan cukup mudah, loh! Jadi, untuk menentukan luas rumput sintetis yang dibutuhkan, kita tinggal menghitung luas bangunnya saja, alias luas si tamannya. Karena taman rumah Dafa berbentuk segitiga, maka kita bisa hitung dulu luas segitiganya.</p>
<p style="text-align: justify;">Hmm, apa ya rumus luas segitiga itu?</p>
<p style="text-align: justify;">Tenang, di artikel kali ini, kita akan membahas rumus luas dan keliling segitiga, serta cara menghitungnya. Yuk, langsung saja kita simak pembahasannya!</p>
<p><strong>Baca Juga: <a href="/blog/segitiga" rel="noopener">Serba-Seri Segitiga: Garis, Sudut, dan Bangun Istimewa</a></strong></p>
<p> </p>
<h2><span style="font-size: 18pt;">Rumus dan Cara Menghitung Keliling Segitiga</span></h2>
<p style="text-align: justify;">Oke, sebelum kamu mengetahui rumus luas segitiga, kita bahas dulu mengenai rumus keliling segitiga dan cara menghitungnya yaaah. Soalnya, rumus keliling ini juga bisa digunakan untuk menghitung luas segitiga nanti.</p>
<p style="text-align: justify;">Perlu kamu ketahui <em>nih</em>, <strong>keliling suatu bangun datar</strong> merupakan <strong>gabungan</strong> dari <strong>jumlah panjang sisi yang membatasinya</strong>. Kalau segitiga itu kan ada tiga sisi, jadi kalau mau menghitung kelilingnya, dapat dihitung dengan cara <strong>menjumlahkan panjang dari setiap sisi</strong> dari segitiga tersebut.</p>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 360px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/gambar%20segitiga%20ABC.jpg" alt="gambar segitiga ABC" /></p>
<p> </p>
<p>Coba kamu perhatikan segitiga di atas yang punya 3 sisi, yaitu AB, BC, dan CA. Nah, untuk menghitung keliling segitiga, kamu bisa menggunakan rumus berikut ini!</p>
<p> </p>
<h3><span style="font-size: 14pt;"><strong>Rumus Keliling Segitiga</strong></span></h3>
<p style="font-weight: bold;"><img decoding="async" style="height: auto; max-width: 100%; width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Rumus%20Keliling%20Segitiga%20-%20Matematika%20Kelas%207.png" alt="Rumus Keliling Segitiga - Matematika Kelas 7" /></p>
<p> </p>
<p style="font-weight: bold;">Contoh soal:</p>
<p style="font-weight: normal;">Diketahui segitiga ABC dengan panjang sisi-sisinya seperti gambar di bawah ini:</p>
<p style="font-weight: normal;"><img decoding="async" style="height: auto; max-width: 100%; width: 300px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/soal%20cara%20mencari%20keliling%20segitiga.png" alt="soal cara mencari keliling segitiga" /></p>
<p style="font-weight: normal; text-align: center;"><em>(Sumber: roboguru.com)</em></p>
<p> </p>
<p style="font-weight: normal;">Hitunglah keliling segitiga ABC di atas!</p>
<p style="font-weight: bold;">Pembahasan:</p>
<p style="font-weight: normal;">Diketahui:</p>
<p style="font-weight: normal;">Panjang sisi AB = 4 cm</p>
<p style="font-weight: normal;">Panjang sisi BC = 5 cm</p>
<p style="font-weight: normal;">Panjang sisi CA = 3 cm</p>
<p style="font-weight: normal;">Keliling segitiga = Jumlah panjang sisi-sisinya</p>
<p style="font-weight: normal;">Keliling segitiga = AB + BC + CA = 4 cm + 5 cm + 3 cm =12 cm</p>
<p style="font-weight: normal;">Jadi, keliling segitiga ABC di atas adalah 12 cm.</p>
<p style="text-align: justify;">Gimana, mudah ya! Kalau begitu, kita lanjut ke rumus berikutnya.</p>
<p><strong>Baca Juga: <a href="/blog/mengenal-berbagai-macam-jenis-segitiga" rel="noopener">Mengenal Berbagai Jenis Segitiga berdasarkan Sisi dan Sudut</a></strong></p>
<p> </p>
<h2><span style="font-size: 18pt;">Rumus dan Cara Menghitung Luas Segitiga</span></h2>
<p style="text-align: justify;">Ada dua cara <em>nih</em> untuk mencari tahu luas segitiga. Pertama, kamu bisa menghitungnya berdasarkan <strong>alas dan tinggi segitiga</strong>. Kalau cara yang kedua, kamu bisa menghitungnya berdasarkan <strong>panjang sisi-sisinya</strong>.</p>
<p> </p>
<h3><span style="font-size: 14pt;">Cara Menghitung Luas Segitiga berdasarkan Alas dan Tinggi</span></h3>
<p>Cara menghitung luas segitiga itu nggak sulit, kok! Coba kamu perhatikan segitiga ABC berikut ini, ya!</p>
<p style="text-align: center;"><img decoding="async" style="height: auto; max-width: 100%; width: 350px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/gambar%20alas%20dan%20tinggi%20segitiga.png" alt="gambar alas dan tinggi segitiga" /><em>(Sumber: Cilacap Klik)</em></p>
<p> </p>
<p style="text-align: justify;"><em>Nah</em>, kalau kamu perhatikan, ada <strong>garis</strong> yang <strong>selalu tegak lurus dari alas segitiga ke titik puncak segitiga</strong>. Nah, garis AO yang tegak lurus itulah yang kita sebut sebagai tinggi segitiga (t), sedangkan BC merupakan alas segitiga (a), dan garis AB, AC merupakan sisi miring segitiga.</p>
<p style="text-align: justify;">Lalu, <em>gimana</em> rumus mencari luas segitiga berdasarkan alas dan tinggi?</p>
<p> </p>
<h3><span style="font-size: 14pt;">Rumus Luas Segitiga jika Diketahui Alas dan Tinggi</span></h3>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Rumus%20Luas%20Segitiga%20Jika%20Diketahui%20Alas%20dan%20Tinggi%20-%20Matematika%20Kelas%207.png" alt="Rumus Luas Segitiga Jika Diketahui Alas dan Tinggi - Matematika Kelas 7" /></p>
<p> </p>
<p>Jadi, rumus luas segitiga adalah <span style="font-weight: bold;">setengah dikali alas, dikali tinggi</span>.</p>
<p style="font-weight: bold;">Contoh soal:</p>
<p style="font-weight: normal;">Diketahui segitiga ABC memiliki tinggi 6 cm dan alas 8 cm. Tentukan luas segitiga tersebut!</p>
<p><img decoding="async" style="height: auto; max-width: 100%; width: 220px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/soal%20cara%20mencari%20luas%20segitiga.png" alt="soal cara mencari luas segitiga" /></p>
<p> </p>
<p style="font-weight: bold;">Pembahasan:</p>
<p>Diketahui:</p>
<p>Tinggi segitiga = t = 6 cm</p>
<p>Alas segitiga = a = 8 cm</p>
<p>Luas segitiga = 1/2 × alas × tinggi</p>
<p>Luas segitiga = 1/2 × a × t = 1/2 × 8 cm × 6 cm = 24 cm<sup>2</sup></p>
<p>Jadi, luas segitiga ABC di atas adalah 24 cm<sup>2</sup>.</p>
<p> </p>
<h3><span style="font-size: 14pt;">Cara Menghitung Luas Segitiga berdasarkan Panjang Sisi</span></h3>
<p style="text-align: justify;">Nah, selain kamu bisa menghitung luas segitiga berdasarkan alas dan tingginya, <strong>rumus luas segitiga</strong> juga dapat kamu cari menggunakan<strong> panjang ketiga sisinya</strong>, ya. Rumus ini biasanya bisa digunakan untuk mencari luas segitiga sembarang. Coba perhatikan segitiga berikut!</p>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 250px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/gambar%20sisi%20sisi%20segitiga.jpg" alt="gambar sisi sisi segitiga" /></p>
<p> </p>
<p style="text-align: justify;">Pada segitiga ABC, diketahui:</p>
<p style="text-align: justify;">Panjang BC = a</p>
<p style="text-align: justify;">Panjang CA = b</p>
<p style="text-align: justify;">Panjang AB = c</p>
<p>Panjang masing-masing sisi segitiga tersebut jika dijumlahkan akan mendapatkan hasil keliling segitiga. Coba lihat lagi rumus keliling segitiga yang ada di poin sebelumnya, ya.</p>
<p style="text-align: justify;"><em>Nah</em>, untuk rumus mencari <strong>luas segitiga berdasarkan panjang sisinya</strong>, maka kamu harus mencari <strong>besar dari setengah keliling segitiga</strong> dahulu, yang dilambangkan dengan s.</p>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Rumus%20Luas%20Segitiga%20Jika%20Diketahui%20Panjang%20Sisi%20-%20Matematika%20Kelas%207-1.png" alt="Rumus Luas Segitiga Jika Diketahui Panjang Sisi - Matematika Kelas 7-1" /></p>
<p> </p>
<p style="text-align: justify;">Setelah mendapatkan <strong>hasil dari setengah keliling segitiga (s)</strong>, kamu tinggal masukin <em>deh </em>rumus untuk menghitung luas segitiga berdasarkan panjang sisi.</p>
<p> </p>
<h3><span style="font-size: 14pt;">Rumus Luas Segitiga jika Diketahui Panjang Sisi</span></h3>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Rumus%20Luas%20Segitiga%20Jika%20Diketahui%20Panjang%20Sisi%20-%20Matematika%20Kelas%207%20(1).png" alt="Rumus Luas Segitiga Jika Diketahui Panjang Sisi - Matematika Kelas 7 (1)" /></p>
<p> </p>
<p style="text-align: justify; font-weight: bold;">Contoh soal:</p>
<p>Diketahui sebuah segitiga memiliki sisi a sebesar 8 cm, sisi b sebesar 12 cm, dan sisi c sebesar 10 cm. Berapakah luas segitiga tersebut?</p>
<p style="font-weight: bold;">Pembahasan:</p>
<p>Diketahui:</p>
<p>a = 8 cm, b = 12 cm, c = 10 cm</p>
<p>Pertama, kita cari tahu dulu nilai s nya.</p>
<p>s = 1/2 × keliling segitiga</p>
<p>s = 1/2 × (a + b + c) = 1/2 × (8 + 12 + 10) = 1/2 × 30 = 15</p>
<p>Setelah nilai s sudah kita temukan, nilainya bisa langsung kita masukkan ke dalam rumus:</p>
<p style="text-align: left;">Luas segitiga =</p>
<p> <img decoding="async" style="height: auto; max-width: 100%; width: 200px;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/cara%20menghitung%20luas%20segitiga%20dengan%20rumus%20heron.png" alt="cara menghitung luas segitiga dengan rumus heron" /></p>
<p>Jadi, luas segitiga di atas adalah 15√7 cm<sup>2</sup>.</p>
<p style="font-weight: bold;">Baca Juga: <a id="__hsNewLink" href="/blog/apa-saja-bagian-bagian-dari-properti-sudut" rel="noopener">Apa Saja Bagian-Bagian dan Properti Sudut?</a></p>
<p> </p>
<h2><span style="font-size: 18pt;">Penerapan Rumus Luas dan Keliling Segitiga pada Soal Cerita</span></h2>
<p style="text-align: justify;">Nah, teman-teman, kamu masih ingat kan dengan masalah ayahnya Dafa yang ingin menentukan luas rumput sintetis untuk taman di belakang rumahnya? Sebelumnya kan sudah diberi tahu ya, untuk mengetahui luas rumput sintetis yang dibutuhkan, kita tinggal menghitung luas taman yang bentuknya segitiga.</p>
<p style="text-align: justify;"><img decoding="async" style="height: auto; max-width: 100%; width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Ilustrasi%20Halaman%20Rumah%20Berbentuk%20Segitiga%20-%20Cara%20Menghitung%20Luas%20dan%20Keliling%20Segitiga%20-%20Matematika%20Kelas%207.png" alt="Ilustrasi Halaman Rumah Berbentuk Segitiga - Cara Menghitung Luas dan Keliling Segitiga - Matematika Kelas 7" /></p>
<p> </p>
<p style="text-align: justify;">Diketahui:</p>
<p style="text-align: justify;">Alas taman = alas segitiga = 4 m</p>
<p style="text-align: justify;">Tinggi taman = tinggi segitiga = 3 m</p>
<p style="text-align: justify; font-weight: bold;">Penyelesaian:</p>
<p style="text-align: justify;">Luas taman = luas segitiga = 1/2 × a × t = 1/2 × 4 m × 3 m = 6 m<sup>2</sup>.</p>
<p style="text-align: justify;">Jadi, luas taman di atas adalah 6 m<sup>2</sup>. Oleh karena itu, luas rumput sintetis yang dibutuhkan ayah Dafa juga 6 m<sup>2</sup>.</p>
<p style="text-align: justify;">Nah, misalnya, harga rumput sintetis adalah Rp135.000,00/m<sup>2</sup>. Maka, kita bisa menghitung biaya yang dibutuhkan untuk membeli rumput sintetis itu dengan cara:</p>
<p style="text-align: justify;">Biaya = Harga per meter × Luas rumput sintetis</p>
<p style="text-align: justify;">Biaya = Rp135.000,00/m<sup>2</sup> × 6 m<sup>2</sup><sup> </sup>= Rp810.000,00.</p>
<p style="text-align: justify;">Jadi, biaya yang dibutuhkan ayah Dafa untuk membeli rumput sintetis dengan luas 6m<sup>2</sup> adalah sebesar Rp810.000,00.</p>
<p style="text-align: center;">—</p>
<p style="text-align: justify;">Oke, itu lah penjelasan <strong>rumus segitiga serta cara menghitung keliling dan luas segitiga</strong>. Mudah bukan? Kalau kamu masih ingin belajar matematika lebih banyak lagi, dan tentunya dengan cara yang seru, yuk langganan <strong><a href="https://www.ruangguru.com/ruangbelajar">ruangbelajar</a> </strong>sekarang juga!</p>
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<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>