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17 April, 18:10

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².

What is the length of the base?

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  1. 17 April, 19:27
    0
    A=bh/2, h=b-5 so

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

    A = (b^2-5b) / 2 and A=42 so:

    (b^2-5b) / 2=42

    b^2-5b=84

    b^2-5b-84=0

    b^2-12b+7b-84=0

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

    (b+7) (b-12) = 0 and since b>0

    b=12m
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