Question

The converse of the Pythagorean theorem says that if the side lengths of a triangle satisfy the equation a2+b2=c2, then the triangle is a right triangle. Which triangle is a right triangle?

1. A= 15, B=8, C=17
2.A= 15, B=8, C=16
3.A= 15, B=9, C=17

Answer 1

This question just requires you to plug the choices into the sample:
`{a}^(2) + {b}^(2) = {c}^(2)`

When we plug 1 in:


`{15}^(2) + {8}^(2) = {17}^(2)`

`225 + 64 = 289`

`289 = 289`

Because the last statement is true, choice 1 is the right answer.

Answer 2

Answer 1 is a right triangle.

If you try out the Pythagorean Theorem to see if it works, you'll find that it does:

8^2 + 15^2 =? 17^2

64 + 225 =? 289

289 = 289

Therefore, Answer 1 is correct.