Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - Chapter 3 Test: 20

Answer

15, 25, and 30 meters

Work Step by Step

Let's assume the shortest side is x. Then, the three sides of the triangle are $x$, $2x$, and $x+10$. The sum of the sides is the perimeter, so $x+2x+(x+10)=70$. Combining terms gives: $4x+10 = 70$ Subtract both sides by 10: $4x = 60$ Divide both sides by 4: $x = \frac {60}{4} = 15$ Plugging in the value for $x$ into $x+10$ and $2x$ gives that the length of the 3 sides are 15, 25, and 30.
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