Question

Which set of side lengths will form a right triangle?

10, 24, 25
6, 8, 11
8, 15, 17
7, 24, 26

Answer 1

Use the Pythagorean theorem (a^2 + b^2 = c^2, with c the longest side).

- 10, 24, 25: 10^2 + 24^2 = 100 + 576 = 676, but 25^2 = 625 → not right.
- 6, 8, 11: 6^2 + 8^2 = 36 + 64 = 100, but 11^2 = 121 → not right.
- 8, 15, 17: 8^2 + 15^2 = 64 + 225 = 289 = 17^2 → right triangle.
- 7, 24, 26: 7^2 + 24^2 = 49 + 576 = 625, but 26^2 = 676 → not right.

So only 8, 15, 17 forms a right triangle.