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2026-01-01
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<p>100 Learners</p>
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<p>105 Learners</p>
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<p>Last updated on<strong>December 28, 2025</strong></p>
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<p>Last updated on<strong>December 28, 2025</strong></p>
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<p>The perimeter of a shape is the total length of its boundary. For a right-angled triangle, the perimeter is the sum of the lengths of its three sides. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a right-angle triangle.</p>
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<p>The perimeter of a shape is the total length of its boundary. For a right-angled triangle, the perimeter is the sum of the lengths of its three sides. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a right-angle triangle.</p>
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<h2>What is the Perimeter of a Right Angle?</h2>
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<h2>What is the Perimeter of a Right Angle?</h2>
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<p>The perimeter of a right-angle triangle is the total length of its three sides. By adding the length of the two legs and the hypotenuse, we get the perimeter of the shape.</p>
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<p>The perimeter of a right-angle triangle is the total length of its three sides. By adding the length of the two legs and the hypotenuse, we get the perimeter of the shape.</p>
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<p>The formula for the perimeter of a right-angle triangle is\( ( P = a + b + c ),\) where a and b are the legs, and c is the hypotenuse.</p>
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<p>The formula for the perimeter of a right-angle triangle is\( ( P = a + b + c ),\) where a and b are the legs, and c is the hypotenuse.</p>
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<p>For instance, if a right-angle triangle has sides, a = 3 , b = 4 , and c = 5 , then its perimeter is P = 3 + 4 + 5 = 12 .</p>
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<p>For instance, if a right-angle triangle has sides, a = 3 , b = 4 , and c = 5 , then its perimeter is P = 3 + 4 + 5 = 12 .</p>
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<h2>Formula for Perimeter of Right Angle - P = a + b + c .</h2>
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<h2>Formula for Perimeter of Right Angle - P = a + b + c .</h2>
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<p>Let’s consider another example of a right-angle triangle with side lengths, a = 5 , b = 12 , and c = 13 . So the perimeter of the right-angle triangle will be: P = a + b + c = 5 + 12 + 13 = 30 .</p>
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<p>Let’s consider another example of a right-angle triangle with side lengths, a = 5 , b = 12 , and c = 13 . So the perimeter of the right-angle triangle will be: P = a + b + c = 5 + 12 + 13 = 30 .</p>
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<h2>How to Calculate the Perimeter of Right Angle</h2>
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<h2>How to Calculate the Perimeter of Right Angle</h2>
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<p>To find the perimeter of a right-angle triangle, we just need to apply the given formula and sum all the sides of the triangle.</p>
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<p>To find the perimeter of a right-angle triangle, we just need to apply the given formula and sum all the sides of the triangle.</p>
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<p>For instance, a given right-angle triangle has the sides of a = 8 , b = 15 , c = 17</p>
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<p>For instance, a given right-angle triangle has the sides of a = 8 , b = 15 , c = 17</p>
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<p>Perimeter = sum of all sides = 8 + 15 + 17 = 40 cm.</p>
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<p>Perimeter = sum of all sides = 8 + 15 + 17 = 40 cm.</p>
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<p>Example</p>
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<p>Example</p>
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<p>Problem on Perimeter of Right Angle -</p>
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<p>Problem on Perimeter of Right Angle -</p>
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<p>For finding the perimeter of a right-angle triangle, we use the formula, P = a + b + c .</p>
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<p>For finding the perimeter of a right-angle triangle, we use the formula, P = a + b + c .</p>
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<p>For example, let’s say, a = 9 cm, b = 12 cm, and c = 15 cm.</p>
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<p>For example, let’s say, a = 9 cm, b = 12 cm, and c = 15 cm.</p>
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<p>Now, the perimeter = sum of all sides = 9 + 12 + 15 = 36 cm</p>
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<p>Now, the perimeter = sum of all sides = 9 + 12 + 15 = 36 cm</p>
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<p>Therefore, the perimeter of the right-angle triangle is 36 cm.</p>
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<p>Therefore, the perimeter of the right-angle triangle is 36 cm.</p>
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<h2>Tips and Tricks for Perimeter of Right Angle</h2>
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<h2>Tips and Tricks for Perimeter of Right Angle</h2>
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<p>Learning some tips and tricks makes it easier for children to calculate the perimeter of right-angle 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 right-angle triangles. Here are some tips and tricks given below:</p>
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<ul><li>Always remember that a right-angle 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 right-angle 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 right-angle triangle starts by determining the length of each side using the Pythagorean theorem if needed. For a right-angle triangle, the relation \(( a^2 + b^2 = c^2 )\) can be used to verify the hypotenuse.</li>
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</ul><ul><li>Calculating the perimeter of a right-angle triangle starts by determining the length of each side using the Pythagorean theorem if needed. For a right-angle triangle, the relation \(( a^2 + b^2 = c^2 )\) can be used to verify the hypotenuse.</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 right-angle 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 right-angle 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 constant 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 constant 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 using the base and height, 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 using the base and height, often use the semi-perimeter.</li>
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</ul><h2>Common Mistakes and How to Avoid Them in Perimeter of Right Angle</h2>
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</ul><h2>Common Mistakes and How to Avoid Them in Perimeter of Right Angle</h2>
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<p>Did you know that while working with the perimeter of a right-angle 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 right-angle 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 right-angle triangle has a perimeter of 30 inches. Two of its sides are 9 inches each. To find the missing side, subtract the sum of the known sides from the total perimeter.</p>
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<p>A right-angle triangle has a perimeter of 30 inches. Two of its sides are 9 inches each. To find the missing side, 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 = 12 inches.</p>
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<p>Length of the missing side = 12 inches.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Let ‘c’ be the side of the missing side. And the given perimeter = 30 inches. Length of the two equal sides = 9 inches.</p>
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<p>Let ‘c’ be the side of the missing side. And the given perimeter = 30 inches. Length of the two equal sides = 9 inches.</p>
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<p>Perimeter of right-angle triangle = sum of lengths of three sides. 30 = 9 + 9 + c</p>
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<p>Perimeter of right-angle triangle = sum of lengths of three sides. 30 = 9 + 9 + c</p>
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<p>30 = 18 + c</p>
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<p>30 = 18 + c</p>
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<p>c = 30 - 18 = 12</p>
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<p>c = 30 - 18 = 12</p>
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<p>c = 12</p>
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<p>c = 12</p>
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<p>Therefore, the missing side is 12 inches.</p>
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<p>Therefore, the missing side is 12 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 60 inches is reshaped into a right-angle triangle. The two legs are equal in length. Find the length of each leg if the hypotenuse is 24 inches.</p>
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<p>A wire with a perimeter of 60 inches is reshaped into a right-angle triangle. The two legs are equal in length. Find the length of each leg if the hypotenuse is 24 inches.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>18 inches</p>
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<p>18 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 the wire is equal to the total length of the wire and this wire is reshaped into a right-angle triangle, here is the solution: Perimeter of the right-angle triangle = Total length of the wire</p>
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<p>Given that the perimeter of the wire is equal to the total length of the wire and this wire is reshaped into a right-angle triangle, here is the solution: Perimeter of the right-angle triangle = Total length of the wire</p>
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<p>Let each leg be 'a'. Perimeter = a + a + 24</p>
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<p>Let each leg be 'a'. Perimeter = a + a + 24</p>
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<p>60 = 2a + 24</p>
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<p>60 = 2a + 24</p>
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<p>60 - 24 = 2a</p>
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<p>60 - 24 = 2a</p>
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<p>36 = 2a a = 18</p>
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<p>36 = 2a a = 18</p>
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<p>Therefore, the length of each leg of the triangle is 18 inches.</p>
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<p>Therefore, the length of each leg of the triangle is 18 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 a right-angle triangle whose legs are 7 cm and 24 cm.</p>
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<p>Find the perimeter of a right-angle triangle whose legs are 7 cm and 24 cm.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>54 cm</p>
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<p>54 cm</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Using the Pythagorean theorem, the hypotenuse c is calculated as follows: \((c = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25 ) \)cm.</p>
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<p>Using the Pythagorean theorem, the hypotenuse c is calculated as follows: \((c = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25 ) \)cm.</p>
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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 = 7 + 24 + 25 = 54</p>
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<p>P = 7 + 24 + 25 = 54</p>
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<p>Therefore, the perimeter of the triangle is 54 cm.</p>
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<p>Therefore, the perimeter of the triangle is 54 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>Ben is planning a right-angle triangular flower bed in his garden. He measures the two legs of the bed: Leg A = 5 meters Leg B = 12 meters How much fencing should Ben buy to go around the edge of the flower bed?</p>
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<p>Ben is planning a right-angle triangular flower bed in his garden. He measures the two legs of the bed: Leg A = 5 meters Leg B = 12 meters How much fencing should Ben buy to go around the edge of the flower bed?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Ben will need 36 meters of fencing to go around the garden.</p>
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<p>Ben will need 36 meters of fencing 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>Using the Pythagorean theorem, the hypotenuse c is calculated as follows:</p>
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<p>Using the Pythagorean theorem, the hypotenuse c is calculated as follows:</p>
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<p>\( ( c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 ) \)meters.</p>
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<p>\( ( c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 ) \)meters.</p>
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<p>The perimeter of the triangle is the sum of all the three sides. Using the formula: P = a + b + c</p>
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<p>The perimeter of the triangle is the sum of all the three sides. Using the formula: P = a + b + c</p>
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<p>P = 5 + 12 + 13 = 30 meters.</p>
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<p>P = 5 + 12 + 13 = 30 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 a right-angle triangular path with legs 9 meters and 40 meters.</p>
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<p>Find the perimeter of a right-angle triangular path with legs 9 meters and 40 meters.</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 = 9, b = 40, c = 41</p>
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<p>Sides are a = 9, b = 40, c = 41</p>
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<p>Perimeter = a + b + c = 9 + 40 + 41 = 90 meters.</p>
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<p>Perimeter = a + b + c = 9 + 40 + 41 = 90 meters.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Using the Pythagorean theorem, the hypotenuse c is calculated as follows:</p>
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<p>Using the Pythagorean theorem, the hypotenuse c is calculated as follows:</p>
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<p>\( ( c = \sqrt{9^2 + 40^2} = \sqrt{81 + 1600} = \sqrt{1681} = 41 )\) meters.</p>
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<p>\( ( c = \sqrt{9^2 + 40^2} = \sqrt{81 + 1600} = \sqrt{1681} = 41 )\) meters.</p>
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<p>The entire distance is calculated around the path to be 90 meters by summing the lengths of the three sides.</p>
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<p>The entire distance is calculated around the path to be 90 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 Right Angle</h2>
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<h2>FAQs on Perimeter of Right Angle</h2>
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<h3>1.Evaluate the right-angle triangle’s perimeter if its sides are 6 cm, 8 cm, and 10 cm.</h3>
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<h3>1.Evaluate the right-angle triangle’s perimeter if its sides are 6 cm, 8 cm, and 10 cm.</h3>
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<p>Perimeter of triangle = a + b + c, Hence ( P = 6 + 8 + 10 = 24 ) cm.</p>
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<p>Perimeter of triangle = a + b + c, Hence ( P = 6 + 8 + 10 = 24 ) cm.</p>
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<h3>2.What is meant by a right-angle triangle’s perimeter?</h3>
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<h3>2.What is meant by a right-angle triangle’s perimeter?</h3>
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<p>The total length around a right-angle triangle’s sides is its perimeter. In other words, the perimeter of a right-angle triangle is the total length of its sides.</p>
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<p>The total length around a right-angle triangle’s sides is its perimeter. In other words, the perimeter of a right-angle 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 for a given set of altitudes.</p>
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<p>The orthic triangle has the smallest perimeter for a given set of altitudes.</p>
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<h2>Important Glossaries for Perimeter of Right Angle</h2>
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<h2>Important Glossaries for Perimeter of Right Angle</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>Right-angle Triangle:</strong>A triangle with one angle measuring 90 degrees.</li>
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</ul><ul><li><strong>Right-angle Triangle:</strong>A triangle with one angle measuring 90 degrees.</li>
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</ul><ul><li><strong>Legs:</strong>The two sides of a right-angle triangle that form the right angle.</li>
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</ul><ul><li><strong>Legs:</strong>The two sides of a right-angle triangle that form the right angle.</li>
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</ul><ul><li><strong>Hypotenuse:</strong>The longest side of a right-angle triangle, opposite the right angle.</li>
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</ul><ul><li><strong>Hypotenuse:</strong>The longest side of a right-angle triangle, opposite the right angle.</li>
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</ul><ul><li><strong>Pythagorean Theorem:</strong>A mathematical formula\( ( a^2 + b^2 = c^2 ) \)used to calculate the hypotenuse of a right-angle triangle.</li>
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</ul><ul><li><strong>Pythagorean Theorem:</strong>A mathematical formula\( ( a^2 + b^2 = c^2 ) \)used to calculate the hypotenuse of a right-angle triangle.</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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<h2>Seyed Ali Fathima S</h2>
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<h2>Seyed Ali Fathima S</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She has songs for each table which helps her to remember the tables</p>
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<p>: She has songs for each table which helps her to remember the tables</p>