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4 March, 13:12

The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?

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  1. 4 March, 13:32
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    Area = 1/2 * base * height = 1/2 b h

    b = h - 1 so:-

    36 = 1/2 * h * (h - 1)

    h (h - 1) = 72

    h^2 - h - 72 = 0

    (h - 9) (h + 8)

    so h = 9 or - 8 (height cannot be negative so h = 9

    Answer is 9 meters
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