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a triangle has an area of 24 square meters and the base is 2 meters longer than the height. What is the length of the base of the triangle
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base = 2meters +h
area of triangle = 1/2 b* h
but b= 2+ h
24m2 = 1/2* (2+h) h
24* 2 =2h + h^2
h^2+2h-48 =0
h^2 +8h-6h-48=0
h(h+8) -6(h+8) =0
(h-6) (h+8) =0
h-6 =0 or h+8 =0
h= 6 or -8
since height cannot be negative
h= 6meters
base = 6m+2m
=8 meters
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