Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 603: 34

Pythagorean Triple.

The Pythagorean Theorem states that for a right triangle, $a^{2} +b^{2} = c^{2}$. In order to figure out if these sides can be a Pythagorean Triple, we plug them into the Pythagorean Theorem: $32^{2} + 126^{2} = 130^{2} \\\\ 16900=16900$ This is true, so it is a Pythagorean Triple.