Question

A triangle has sides with lengths of 7 feet, 15 feet, and 17 feet. is it a right triangle?

Answer 1

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.

a = 7
b = 15
c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

274 ≠ 289

Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

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