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Verifying Right Triangles: A Guide to Identify Right Triangles from Side Lengths

This guide will help you determine if a given triangle is a right triangle. To do this, you'll represent the length of the longest side as 'c' and check if the side lengths satisfy the equation c² = a² + b². If they do, the triangle is a right triangle; if not, it is not a right triangle. Examples include side lengths such as 10, 11, 14.2 and 4, 4.3, showcasing the verification process. Practice identifying right triangles using various side lengths with your guided practice on this topic.

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Verifying Right Triangles: A Guide to Identify Right Triangles from Side Lengths

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  1. a. b. (3 34)2 92 + 152 a. b. 262 222 + 142 9 34 81 + 225 676 484 + 196 306 = 306 676 = 680 ? ? ? ? = = = = EXAMPLE 1 Verify right triangles Tell whether the given triangle is a right triangle. Let c represent the length of the longest side of the triangle. Check to see whether the side lengths satisfy the equation c2 = a2 + b2. The triangle is a right triangle. The triangle is not a right triangle.

  2. 10, 11,and14 2. 4, 4 3 , 8 1. right triangle not a right triangle right triangle ANSWER ANSWER ANSWER 3. 5,6 and 61 for Example 1 GUIDED PRACTICE Tell whether a triangle with the given side lengths is a right triangle.

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