## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Exercise Set - Page 493: 58a

#### Answer

This means that the two sides are $5 \sqrt{10}$ and $15 \sqrt{10}$ cm.

#### Work Step by Step

Since one side is three times longer than the other, we will call one side x and the other side 3x. Using the Pythagorean theorem, we have: $$x^2+ (3x)^2=(50^2)$$ $$x = \sqrt{ \frac{50^2}{10} } = 50/ \sqrt{10}=5 \sqrt{10}$$ This means that the two sides are $5 \sqrt{10}$ and $15 \sqrt{10}$ cm.

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