SOLUTION: The area of a right triangle is 44m^2.Find the length of its legs if one of the legs is 3m longer than the other.
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Question 356165: The area of a right triangle is 44m^2.Find the length of its legs if one of the legs is 3m longer than the other.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The area of a right triangle is 44m^2.Find the length of its legs if one of the legs is 3m longer than the other.
let one leg be x m
other leg = x+3
..
Area of right triangle = 1/2 * leg1 * leg2
1/2 * x*(x+3)=44
x(x+3)=88
x^2+3x=88
x^2+3x-88=0
x^2+11x-8x-88=0
x(x+11)-8(x+11)=0
(x-8)(x+11)=0
x= 8 one leg
other leg = 11
...
m.ananth@hotmail.ca
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