Geometry

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the area of a triangle is 27. its height is 3 times the base. find the height and the base of the triangle.

  • Geometry -

    a = 1/2 bh
    h = 3b

    a = 1/2 b*3b = 3/2 b^2

    27 = 3/2 b^2
    18 = b^2
    b = 3√2
    h = 9√2

    check: a = 1/2 (3√2)(9√2) = 1/2 (27)(2) = 27

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