9
QuizMultiple Choice

Converse to the Pythagorean Theorem — Quiz

Question 9 • Foundations of Math 1

Which triangle side lengths form a right triangle? Choose two correct answers.

Answer
A
5, 6, 7
B
6, 8, 14
C
10, 12, 15
D
8, 15, 17
E
15, 20, 25
F
16, 18, 20

Explanation

For a right triangle, the squares of the two shorter sides must add to the square of the longest side. For 8, 15, and 17, 8² + 15² = 64 + 225 = 289 = 17². For 15, 20, and 25, 15² + 20² = 225 + 400 = 625 = 25², so both sets form right triangles.

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