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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The perimeter of a shape is the total length of its boundary. The sum of all three sides is called the perimeter of a triangle. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a triangle.</p>
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<p>The perimeter of a shape is the total length of its boundary. The sum of all three sides is called the perimeter of a triangle. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a triangle.</p>
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<h2>What is the Perimeter of a Triangle?</h2>
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<h2>What is the Perimeter of a Triangle?</h2>
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<p>The perimeter of a triangle is the total length of its three sides. By adding the length of all three sides, we get the perimeter of the shape.</p>
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<p>The perimeter of a triangle is the total length of its three sides. By adding the length of all three sides, we get the perimeter of the shape.</p>
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<p>The<a>formula</a>for perimeter of a triangle is<strong>𝑷 = 𝑎 + 𝑏 + 𝑐</strong>, where a, b, and c are the sides of the triangle. For instance, if a triangle has sides, a = 6, b = 8, and c = 10, then its perimeter is p = 6 + 8 + 10 = 24. </p>
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<p>The<a>formula</a>for perimeter of a triangle is<strong>𝑷 = 𝑎 + 𝑏 + 𝑐</strong>, where a, b, and c are the sides of the triangle. For instance, if a triangle has sides, a = 6, b = 8, and c = 10, then its perimeter is p = 6 + 8 + 10 = 24. </p>
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<h2>Formula for Perimeter of Triangle - 𝑷 = 𝑎 + 𝑏 + 𝑐.</h2>
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<h2>Formula for Perimeter of Triangle - 𝑷 = 𝑎 + 𝑏 + 𝑐.</h2>
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<p>Let’s consider another example of a triangle with side lengths, 𝑎 = 8, 𝑏 = 10, and 𝑐 = 12. So the perimeter of the triangle will be: 𝑷 = 𝑎 + 𝑏 + 𝑐 = 8 + 10 + 12 = 30.</p>
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<p>Let’s consider another example of a triangle with side lengths, 𝑎 = 8, 𝑏 = 10, and 𝑐 = 12. So the perimeter of the triangle will be: 𝑷 = 𝑎 + 𝑏 + 𝑐 = 8 + 10 + 12 = 30.</p>
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<h2>How to Calculate the Perimeter of Triangle</h2>
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<h2>How to Calculate the Perimeter of Triangle</h2>
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<p>To find the perimeter of a triangle, we just need to apply the given formula and<a>sum</a>all the sides of the triangle.</p>
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<p>To find the perimeter of a triangle, we just need to apply the given formula and<a>sum</a>all the sides of the triangle.</p>
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<p>For instance, a given triangle has the sides of a = 6, b = 6, c = 6. Perimeter = sum of all sides = 6 + 6 + 6 = 18 cm. </p>
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<p>For instance, a given triangle has the sides of a = 6, b = 6, c = 6. Perimeter = sum of all sides = 6 + 6 + 6 = 18 cm. </p>
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<h2>Example Problem on Perimeter of Triangle</h2>
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<h2>Example Problem on Perimeter of Triangle</h2>
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<p>For finding the perimeter of a triangle, we use the formula, 𝑷 = 𝑎 + 𝑏 + 𝑐. </p>
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<p>For finding the perimeter of a triangle, we use the formula, 𝑷 = 𝑎 + 𝑏 + 𝑐. </p>
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<p>For example, let’s say, a = 5 cm, b = 4 cm, and c = 2 cm. Now, the perimeter = sum of all sides = 5 + 4 + 2 = 11cm</p>
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<p>For example, let’s say, a = 5 cm, b = 4 cm, and c = 2 cm. Now, the perimeter = sum of all sides = 5 + 4 + 2 = 11cm</p>
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<p>Therefore, the perimeter of the triangle is 11 cm.</p>
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<p>Therefore, the perimeter of the triangle is 11 cm.</p>
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<h2>Tips and Tricks for Perimeter of Triangle</h2>
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<h2>Tips and Tricks for Perimeter of Triangle</h2>
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<p>Learning some tips and tricks makes it easier for children to calculate the perimeter of triangles. Here are some tips and tricks given below:</p>
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<p>Learning some tips and tricks makes it easier for children to calculate the perimeter of triangles. Here are some tips and tricks given below:</p>
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<ul><li>Always remember that a triangle's perimeter is simply the sum of the three sides of the shape. For that, use the formula, 𝑷 = 𝑎 + 𝑏 + 𝑐.</li>
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<ul><li>Always remember that a triangle's perimeter is simply the sum of the three sides of the shape. For that, use the formula, 𝑷 = 𝑎 + 𝑏 + 𝑐.</li>
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</ul><ul><li>Calculating the perimeter of a triangle starts by determining the length of each side using the distance formula. The distance formula is: Distance = √(x2-x1)2+(y2-y1)2 Here (x1, y1) and (x2, y2), Indicating the positions of two points that make out a triangle’s side. They can be found by adding the lengths of three sides after they are calculated.</li>
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</ul><ul><li>Calculating the perimeter of a triangle starts by determining the length of each side using the distance formula. The distance formula is: Distance = √(x2-x1)2+(y2-y1)2 Here (x1, y1) and (x2, y2), Indicating the positions of two points that make out a triangle’s side. They can be found by adding the lengths of three sides after they are calculated.</li>
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</ul><ul><li>To reduce the confusion, specifically, arrange the indicated side lengths if you need the perimeter of a group of triangles. After that, apply the formula to each triangle.</li>
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</ul><ul><li>To reduce the confusion, specifically, arrange the indicated side lengths if you need the perimeter of a group of triangles. After that, apply the formula to each triangle.</li>
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</ul><ul><li>To avoid mistakes when adding the perimeter, make sure the side lengths are precise and<a>constant</a>for common uses like gardening and architecture. </li>
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</ul><ul><li>To avoid mistakes when adding the perimeter, make sure the side lengths are precise and<a>constant</a>for common uses like gardening and architecture. </li>
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</ul><ul><li>If you are given the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter. Area-related calculations, like Heron’s formula, often use the semi-perimeter. </li>
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</ul><ul><li>If you are given the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter. Area-related calculations, like Heron’s formula, often use the semi-perimeter. </li>
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</ul><h2>Common Mistakes and How to Avoid Them in Perimeter of Triangle</h2>
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</ul><h2>Common Mistakes and How to Avoid Them in Perimeter of Triangle</h2>
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<p>Did you know that while working with the perimeter of a triangle, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:</p>
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<p>Did you know that while working with the perimeter of a triangle, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>A triangular-shaped road sign has a perimeter of 48 inches and two sides, the two sides measuring 17 inches each. To find out the missing side of the road, subtract the sum of the known sides from the total perimeter.</p>
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<p>A triangular-shaped road sign has a perimeter of 48 inches and two sides, the two sides measuring 17 inches each. To find out the missing side of the road, subtract the sum of the known sides from the total perimeter.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Length of the missing side = 14 inches.</p>
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<p>Length of the missing side = 14 inches.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Let ‘b’ be the side of the missing side.</p>
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<p>Let ‘b’ be the side of the missing side.</p>
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<p>And the given perimeter = 48 inches.</p>
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<p>And the given perimeter = 48 inches.</p>
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<p>Length of the two equal sides = 17 inches.</p>
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<p>Length of the two equal sides = 17 inches.</p>
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<p>Perimeter of triangle = sum of lengths of three sides.</p>
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<p>Perimeter of triangle = sum of lengths of three sides.</p>
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<p> 48 = 17 + 17 + b</p>
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<p> 48 = 17 + 17 + b</p>
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<p> 48 = 34 + b</p>
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<p> 48 = 34 + b</p>
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<p> b = 48 - 34 = 14</p>
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<p> b = 48 - 34 = 14</p>
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<p> b = 14</p>
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<p> b = 14</p>
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<p>Therefore, the missing side is 14 inches.</p>
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<p>Therefore, the missing side is 14 inches.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>A wire with a perimeter of 297 inches is reshaped into an equilateral triangle. Find the length of each side of the triangle and divide the total length by 3.</p>
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<p>A wire with a perimeter of 297 inches is reshaped into an equilateral triangle. Find the length of each side of the triangle and divide the total length by 3.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>99 inches</p>
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<p>99 inches</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Given that the perimeter of a rectangle is equal to the total length of the wire and this wire is reshaped into an equilateral triangle, here is the solution:</p>
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<p>Given that the perimeter of a rectangle is equal to the total length of the wire and this wire is reshaped into an equilateral triangle, here is the solution:</p>
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<p>Perimeter of a rectangle = Total length of the wire</p>
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<p>Perimeter of a rectangle = Total length of the wire</p>
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<p>Length of the wire used = Perimeter of the triangle formed</p>
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<p>Length of the wire used = Perimeter of the triangle formed</p>
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<p>Perimeter of an equilateral triangle = 3 × a</p>
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<p>Perimeter of an equilateral triangle = 3 × a</p>
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<p>297= 3 × a</p>
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<p>297= 3 × a</p>
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<p>297 ÷ 3 = 99</p>
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<p>297 ÷ 3 = 99</p>
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<p>a = 99</p>
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<p>a = 99</p>
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<p>Therefore, the length of each side of the triangle is 99 inches.</p>
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<p>Therefore, the length of each side of the triangle is 99 inches.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Find the perimeter of an equilateral triangle whose sides are 10cm.</p>
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<p>Find the perimeter of an equilateral triangle whose sides are 10cm.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>30 cm</p>
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<p>30 cm</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Perimeter of triangle = a + b + c</p>
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<p>Perimeter of triangle = a + b + c</p>
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<p>P = 10 + 10 + 10 = 30</p>
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<p>P = 10 + 10 + 10 = 30</p>
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<p>Therefore, the perimeter of the triangle is 30 cm.</p>
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<p>Therefore, the perimeter of the triangle is 30 cm.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Annie is planning a triangular vegetable garden in her backyard. She measures the three sides of the garden: Side A = 12 meters Side B = 9 meters Side C = 15 meters How much string should Annie buy to go around the edge of the garden?</p>
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<p>Annie is planning a triangular vegetable garden in her backyard. She measures the three sides of the garden: Side A = 12 meters Side B = 9 meters Side C = 15 meters How much string should Annie buy to go around the edge of the garden?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Annie will need 36 meters of string to go around the garden.</p>
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<p>Annie will need 36 meters of string to go around the garden.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The perimeter of a triangle is the sum of all the three sides. Using the formula:</p>
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<p>The perimeter of a triangle is the sum of all the three sides. Using the formula:</p>
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<p>P = a + b + c</p>
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<p>P = a + b + c</p>
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<p>P = 12 + 9 + 15 = 36 meters.</p>
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<p>P = 12 + 9 + 15 = 36 meters.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Find the perimeter of the scalene triangular rock.</p>
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<p>Find the perimeter of the scalene triangular rock.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Sides are a = 10, b = 8, c = 7</p>
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<p>Sides are a = 10, b = 8, c = 7</p>
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<p>Perimeter = a + b + c</p>
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<p>Perimeter = a + b + c</p>
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<p>= 10 + 8 + 7 = 25 meters.</p>
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<p>= 10 + 8 + 7 = 25 meters.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Each side of the scalene triangle has a different length. The entire distance is calculated around the rock to be 25 meters by summing the lengths of the three sides.</p>
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<p>Each side of the scalene triangle has a different length. The entire distance is calculated around the rock to be 25 meters by summing the lengths of the three sides.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Perimeter of Triangle</h2>
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<h2>FAQs on Perimeter of Triangle</h2>
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<h3>1.Evaluate the triangle’s perimeter if its sides are 3cm, 4cm, and 6cm.</h3>
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<h3>1.Evaluate the triangle’s perimeter if its sides are 3cm, 4cm, and 6cm.</h3>
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<p>Perimeter of triangle = a + b + c, Hence p = 3 + 4 + 6 = 13 cm.</p>
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<p>Perimeter of triangle = a + b + c, Hence p = 3 + 4 + 6 = 13 cm.</p>
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<h3>2.What is meant by a triangle’s perimeter?</h3>
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<h3>2.What is meant by a triangle’s perimeter?</h3>
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<p>The total length around a triangle’s sides is its perimeter. In other words, the perimeter of a triangle is the total length of its sides.</p>
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<p>The total length around a triangle’s sides is its perimeter. In other words, the perimeter of a triangle is the total length of its sides.</p>
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<h3>3.What are the types of triangles?</h3>
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<h3>3.What are the types of triangles?</h3>
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<p>There are six types of triangles: Equilateral triangle, Isosceles triangle, Scalene triangle, Acute triangle, right triangle, and obtuse triangle.</p>
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<p>There are six types of triangles: Equilateral triangle, Isosceles triangle, Scalene triangle, Acute triangle, right triangle, and obtuse triangle.</p>
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<h3>4.Which triangle has no equal sides?</h3>
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<h3>4.Which triangle has no equal sides?</h3>
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<p>A scalene triangle is a triangle with no equal sides. All three sides of the scalene triangle are different.</p>
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<p>A scalene triangle is a triangle with no equal sides. All three sides of the scalene triangle are different.</p>
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<h3>5. Which triangle has the smallest perimeter?</h3>
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<h3>5. Which triangle has the smallest perimeter?</h3>
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<p>The orthic triangle has the smallest perimeter. </p>
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<p>The orthic triangle has the smallest perimeter. </p>
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<h2>Important Glossaries for Perimeter of Triangle</h2>
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<h2>Important Glossaries for Perimeter of Triangle</h2>
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<ul><li><strong>Perimeter:</strong>The total length of the sides of a shape.</li>
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<ul><li><strong>Perimeter:</strong>The total length of the sides of a shape.</li>
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</ul><ul><li><strong>Triangle:</strong>A polygon with three sides and three angles.</li>
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</ul><ul><li><strong>Triangle:</strong>A polygon with three sides and three angles.</li>
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</ul><ul><li><strong>Formula of perimeter:</strong>The mathematical expression used to calculate the perimeter of a triangle is 𝑷 = 𝑎 + 𝑏 + 𝑐.</li>
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</ul><ul><li><strong>Formula of perimeter:</strong>The mathematical expression used to calculate the perimeter of a triangle is 𝑷 = 𝑎 + 𝑏 + 𝑐.</li>
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</ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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