SOLUTION: the base of a triangle is two m less thsn twice its height find the length of the base and the height given that the area of thr triangles is 56 sq m

Question 856397: the base of a triangle is two m less thsn twice its height find the length of the base and the height given that the area of thr triangles is 56 sq m
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
height = x
base = 2x-2
Area of triangle = 1/2 * base * height
56 = 1/2 * x * 2(x-1)
56=x(x-1)
56=x^2-x
x^2-x-56=0
x^2-8x+7x-56=0
x(x-8)+7(x-8)=0
(x-8)(x+7)=0
take positive value.
x= 8
height = 8 m
base = 2x-2 = 14 m
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