Question 3 • Foundations of Math 1
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.
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