Answer to Question #22291 in Geometry for rudy andrade

Question

A triangle has side lengths of 10, 24, and 30. What type of triangle is it?

Answer 1

Let's use the Pythagorean Theorem:

a² + b² ? c².

If the left side is bigger, it's an acute triangle. If the right side is bigger, it's an obtuse triangle. If they are equal, it's a right triangle.

This one gives us

10² + 24² ? 30²,

or

676 < 900,

so it is an obtuse triangle.