## Algebra 1

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises: 21

1.2 miles

#### Work Step by Step

The distance jogged north and west make up the legs of a right triangle. The hypotenuse is the distance from the starting point. Substitute the given distances to find the distance jogged west. $0.5^2+w^2=1.3^2\longrightarrow$ find the squares $0.25+w^2=1.69\longrightarrow$ subtract 0.25 from each side $0.25+w^2-0.25=1.69-0.25\longrightarrow$ subtract $w^2=1.44\longrightarrow$ find the square root of each side $w=1.2$

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