SOLUTION: find the length of the shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotenuse is 10 miles less than twice the shorter leg

SOLUTION: find the length of the shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotenuse is 10 miles less than twice the shorter leg

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Question 289838: find the length of the shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotenuse is 10 miles less than twice the shorter leg
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
b=a+10
c=2a-10
a^2+b^2=c^2
a^2+(a+10)2=(2a-10)^2
2a^2+20a+100 = 4a^2-40a+100
0=2a^2-60a
60a=2a^2
30a=a^2
a=30
b=40
c=50

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