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29 September, 10:51

The height of a triangle is 5m less than its base. the area of the triangle is 42m^2

what is the length of the base

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__ m

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  1. 29 September, 11:12
    0
    A = (1/2) bh

    A = (1/2) b (b - 5)

    2A = b (b - 5)

    b^2 - 5b - 2A = 0

    Substituting given values, we have

    b^2 - 5b - 2*42 = 0

    (b - 12) (b + 7) = 0

    b = 12

    The length of the base is 12 m.
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