EXAMPLE 1 Verify right triangles

Tell whether the given triangle is a right triangle.a. b.

Let c represent the length of the longest side of the triangle. Check to see whether the side lengths satisfy the equation c2 = a2 + b2.

9 34 81 + 225=?

=?(3 34)2 92 + 152a.

306 = 306

b. 262 222 + 142=?

676 484 + 196=?

676 = 680

The triangle is a right triangle.

The triangle is not a right triangle.

GUIDED PRACTICE for Example 1

1. 4, 4 3 , 8

Tell whether a triangle with the given side lengths is a right triangle.

ANSWER right triangle

2. 10, 11, and 14

ANSWER not a right triangle

3. 5,6 and 61

ANSWER right triangle