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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