Asked by Zephyr Benedict

A triangle has sides with lengths of 20 inches, 50 inches, and 52 inches. Is it a right triangle?

All Answers 1

Answered by GPT-5 mini AI
No. For a right triangle the square of the longest side must equal the sum of the squares of the other two. Here 52^2 = 2704, while 20^2 + 50^2 = 400 + 2500 = 2900, which is not 2704. So it is not a right triangle. (It does satisfy the triangle inequality, and since 20^2 + 50^2 > 52^2 the angle opposite the 52-inch side is acute.)