## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 617: 23

#### Answer

It can be a right triangle.

#### Work Step by Step

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 the sides of a right triangle, we plug them into the Pythagorean Theorem: $15^{2} + 36^{2} = 39^{2} \\\\ 1521=1521$ This is true, so it can be a right triangle.

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