Question

Please help! It’s an easy multiple choice question. Question in the photo.

Answer 1

. Obviously, 337 does not equal 324, so c is not a right triangle.

Answer 2

Explanation:

Just so you know, the answer is NOT B, as one person stated.

In order for a right triangle to be a right triangle, 2 things have to happen. One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.

Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17. Using Pythagorean's Theorem to test:

`8^2+15^2=17^2` and

64 + 225 = 289 and

289 = 289. So a is a right triangle. Now for b:

`20^2+21^2=29^2` and

400 + 441 = 841 and

841 = 841. So b is also a right triangle. Now for c:

`9^2+16^2=18^2` and

81 + 256 = 324 and

337 = 324. Obviously, 337 does not equal 324, so c is not a right triangle.