SOLUTION: 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

Algebra ->  Pythagorean-theorem -> SOLUTION: 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       Log On


   

Question 1015167: 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 by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume the longer side is the hypotenuse
Let +b++ = the missing leg
+b%5E2+=+85%5E2+-+75%5E2+
+b%5E2+=+7225+-+5625+
+b%5E2+=+1600+
+b+=+40+
The sides are 40, 75, 85
and the missing side is a leg