Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises: 27

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: $14^{2} + 48^{2} = 50^{2} \\\\ 2500=2500$ This is true, so it can be a right triangle.
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