Answer
30 mi
Work Step by Step
long leg = 10 mi + short leg
hypotenuse = 2*short-10
$x^2+(x+10)^2=(2x-10)^2$
$x^2+x^2+20x+100=4x^2-40x+100$
$2x^2+20x=4x^2-40x$
$0=2x^2-60x$
$2x(x-30)=0$
$2x=0$
$x=0$
$x-30=0$
$x=30$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 6 - Section 6.7 - Quadratic Equations and Problem Solving - Exercise Set - Page 467: 34
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
