Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Standardized Test Prep: 43

Answer

The shorter path is 125 yd.

Work Step by Step

Use the Pythagorean theorem to find the length of each path. $75^2+100^2=c^2 \longrightarrow$ find the squares $5625+10000=c^2 \longrightarrow$ add $15625=c^2 \longrightarrow$ find the square root of each side $\sqrt {15625}=\sqrt {c^2} \longrightarrow$ simplify $125=c$ $50^2+240^2=c^2 \longrightarrow$ find the squares $2500+57600=c^2 \longrightarrow$ add $60100=c^2 \longrightarrow$ find the square root of each side $\sqrt {60100}=\sqrt {c^2} \longrightarrow$ simplify $245.2=c$
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