The height of a triangle is 6 m more than its base The area of the triangle is 56 m^2 Find the length of the base.

Assuming the length of the base is x, then the height of the triangle is 6+x

So the area=1/2*x(x+6)=56

x^2+6x=112

x^2+6x-112=0

(x+14)(x-8)=0

Therefore x=8

The length of the base is 8m.

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