Enter yoThe given lengths are two sides of a right triangle. All three side lengths of the triangle are integers

pythagorean-triple

#1

Enter yoThe 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.

Answer:

The Pythagorean Theorem is needed here and is: A^2 +B^2 = C^2. So what the question is asking for is weather 75 and 85 are A and B or A and C (the choice of A Vs. B is arbitrary) so by a lucky guess picking c=85 and a = 75 we see that 85^2-75^2 = 40^2, giving the Pythagorean triplet (75,40,85).