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a. b. (3 34) 2 9 2 + 15 2. a. b. 26 2 22 2 + 14 2. 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.
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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.
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.