Question

A traffic sign is shaped like a triangle. The traffic sign has side lengths of 9 inches, 12 inches and 15 inches. Is the traffic sign a right triangle

Answer 1

Answer: Yes

Explanation:

`9^2 + 12^2` = 225

`\sqrt 225` = 15

Answer 2

Yes, it's a right triangle.

Explanation:

Check using the pythagorean theorem.

a^2+b^2 = c^2

C is the hypotenuse, which is always the longest side. It doesn't matter which remaining sides (aka "legs") you call a or b.

So does 9^2 + 12^2 equal 15^2? If it does, then it's a right triangle. If not, it isn't a right triangle.

9^2+ 12^2 = 81+144 = 225

15^2 = 225

9^2+12^2 = 15^2

225=225

So yes, this is a right triangle.