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Math Help - Circle Tangent / Isosceles Trapezoid

  1. #1
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    Circle Tangent / Isosceles Trapezoid

    Determine the radius of a circle that is tangent to 3 sides of the isosceles trapezoid.
    The sides of the trapezoid are 'm' for the 2 common side lengths, and 'n' for the smaller, 'p' for the larger bases.

    In other words:
    n<p

    I know that the area of a trapezoid is 1/2 h(b1 + b2). I know radius is 1/2 diameter.

    Please help. Thanks.
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  2. #2
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    It might be a stretch, but after working it out i got r= sqrt(m^2 - (p-n)^2)/2

    isnt the height = to the diamter, and if you made a right triangle, m would be the hypothenuse and p-n would be the short leg. so sqrt(m^2-(p-n)^2) would give you the height, divide by two, and you have your radius.


    tell me if i am wrong...
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