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16 February, 06:35

The height of a triangle is 3cm less than the length of its base and is area is 27m, find the height

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  1. 16 February, 07:33
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    Area of a triangle=bh/2

    27 = x (x-3) / 2

    27 = (x^2-3x) / 2

    54 = x^2-3x

    x^2-3x-54=0

    (x-9) (x+6) = 0

    x=9, x=-6.

    In this case, x must equal 9 since the base cannot be a negative number.

    Final answer: Height=6 m
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