Which set of numbers is a Pythagorean triple?
A 3, 5, 7
B 5, 12, 13
C 7, 11, 15
D 8, 10, 14
Explanation
📌 Step 1: Recall what a Pythagorean triple is
A set of three positive integers (a, b, c) where a² + b² = c².
📌 Step 2: Test each option
• (3, 5, 7): 9 + 25 = 34 ≠ 49 ✗
• (5, 12, 13): 25 + 144 = 169 = 169 ✓
• (7, 11, 15): 49 + 121 = 170 ≠ 225 ✗
• (8, 10, 14): 64 + 100 = 164 ≠ 196 ✗
📌 Answer: (5, 12, 13) is a Pythagorean triple.
💡 Common Pythagorean triples to memorize:
3-4-5, 5-12-13, 8-15-17, 7-24-25
And their multiples: 6-8-10, 9-12-15, 10-24-26