Shoshanna says that a triangle with side lengths 17m, 8m and 15m is not a right triangle because 17 squared plus 8 squared equals 353, 15 squared equals 225, and 353 does not equal 225. Is she correct? Explain.

Question

Mathematics

Shawn Phelps

2 February, 07:43

Shoshanna says that a triangle with side lengths 17m, 8m and 15m is not a right triangle because 17 squared plus 8 squared equals 353, 15 squared equals 225, and 353 does not equal 225. Is she correct? Explain.

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Answers (1)

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Uriel Coffey · Answer 1

Shoshanna is not correct

to find if a right triangle is actually a right triangle you have to do the two smaller values squared equals the larger value squared

(a²+b²=c²)

correct way to solve this problem:

a²+b²=c²

8²+15²+17²

64+225=289

289=289

so, this triangle is a right triangle