Question

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.



75, 85

Answer 1

well all you need to do is look at the 2 possibilities

85 and 75 are shorter legs

so 85^2 + 75^2 =

if you have a perfect square, that's the pythagorean triple.

if not use 85 as a hypotenuse

85^2 - 75^2 =

evaluate and see if its a perfect square.