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

A.
40, leg
B.
78, leg
C.
81, leg
D.
113, hypotenuse

Answer 1

pythagorean theorem: a^2 + b^2 = c^2

75^2 + 85^2 = c^2
5625 + 7225 = c^2
12850 = c^2

take the square root of both sides

c ≈ 113

and it would be the hypotenuse since it is the largest side! hope this helps

Answer 2

A.

Explanation:

75^2=5625

85^2=7225

7225-5625=1600

`√(1600)`=40