5
QuizMultiple Choice

Pythagorean Theorem

Question 5 • (Volch)WCA 3230 Geometry 3rd Nine Weeks 2025-2026

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

Explanation

The largest given side, 85, must be the hypotenuse. Use the Pythagorean theorem to find the missing side: 85² − 75² = 7,225 − 5,625 = 1,600, and √1,600 = 40. So the third side is 40, which is a leg; the correct choice is A, “40, leg.”

AI-written and checked against the verified answer.

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