3
QuizMultiple Choice

Exploring the Pythagorean Theorem — Quiz

Question 3 • Foundations of Math 1

Which sets of side lengths represent Pythagorean triples? Choose three correct answers.

Answer
A
6, 8, 14
B
8, 15, 17
C
28, 45, 53
D
15, 20, 30
E
1, 2, 5
F
10, 24, 26

Explanation

For a Pythagorean triple, the two shorter side lengths must satisfy a² + b² = c², where c is the longest side. For 8, 15, 17: 8² + 15² = 64 + 225 = 289 = 17². For 28, 45, 53: 784 + 2025 = 2809 = 53², and for 10, 24, 26: 100 + 576 = 676 = 26². The other sets do not satisfy this equation.

AI-written and checked against the verified answer.

Previous
Next