quadratics math

the height of a triangle is 4cm shorter than its base. if the triangle has an area of 48cm2, find the length of the base of the triangle.

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  1. Let h=height
    base, b =h+4

    Area of triangle
    =bh/2
    =(h+4)h/2
    or
    h(h+4)/2 = 48
    Solve for h.
    h²+4h-96=0
    (h-12)(h+8)=0
    h=12 or h=-8 (reject negative root)

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