8
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Exploring the Pythagorean Theorem

Question 8 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

Which sets of side lengths represent Pythagorean triples? Check all that apply.

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

Explanation

A set is a Pythagorean triple if the squares of the two shorter sides add to the square of the longest side. For 8, 15, 17: 8² + 15² = 64 + 225 = 289 = 17². For 10, 24, 26: 100 + 576 = 676 = 26²; for 28, 45, 53: 784 + 2025 = 2809 = 53². The other sets do not satisfy this rule.

AI-written and checked against the verified answer.

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