Question

The side lenths of three triangles are given. Triangle ABC: 3,4,5. Triangle DEF: 8,15,17 Triangle GHI: 9,22,24. Select all of the given triangles that have a 90° interior angle

Answer 1

Triangles ABC and DEF are right triangles.

By using the Pythagorean Theorem (a^2 + b^2 = c^2), you can determine if a triangle is a right triangle by seeing that both legs squared and added together equal the hypotenuse squared.

ABC: 3 * 3 = 9, 4 * 4 = 16, and 5 * 5 = 25

9 + 16 = 25 ✅

DEF: 8 * 8 = 64, 15 * 15 = 225, and 17 * 17 = 289

64 + 225 = 289 ✅

GHI: 9 * 9 = 81, 22 * 22 = 484, and 24 * 24 = 576

81 + 484 ≠ 576 ❌