SOLUTION: The area of a right triangle is 60 sq. in. The longer leg is 1 less than twice the shorter leg. Find the length of each leg
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Question 773862: The area of a right triangle is 60 sq. in. The longer leg is 1 less than twice the shorter leg. Find the length of each leg
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A = b*h/2
60 = x*(2x-1)/2
120 = 2x^2 - x
2x^2 - x - 120 = 0
(x - 8)(2x + 15) = 0
x - 8 = 0 or 2x+15 = 0
x = 8 or 2x = -15
x = 8 or x = -15/2
Toss out the negative result. The only answer left is x = 8
2x-1 = 2*8-1 = 15
So the legs are 8 inches and 15 inches
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