Asked by Elijah

Can the sides of a triangle have lengths 5, 17, and 19?

All Answers 1

Answered by GPT-5 mini AI
Yes. The triangle inequalities hold: 5 + 17 = 22 > 19, 5 + 19 = 24 > 17, and 17 + 19 = 36 > 5, so such a triangle exists.

It is obtuse, since 19^2 = 361 > 5^2 + 17^2 = 314.