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6 January, 17:00

A right triangle's height is 3 times the length of its base. if the area of the triangle is 864, what is the height?

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  1. 6 January, 17:23
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    The area of a triangle is a half times base times height.

    A = 0.5bh

    864 = (0.5) (b) (3b)

    864 = 0.5 * 3b^2

    1728 = 3b^2

    576 = b^2

    √576 = √b^2

    24 = b

    Since the triangle's height is 3 times the length of its base then, the height is 72.

    If we check the area by multiplying all values ...

    A = 0.5bh

    864 = (0.5) (24) (72)

    864 = 864

    The height of 72 is the correct value
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