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Math Help - Geometry Proof : Product of area ofdiagonally opposite triangles in a quadrilateral

  1. #1
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    Geometry Proof : Product of area ofdiagonally opposite triangles in a quadrilateral

    In a quadrilateral, product of area of diagonally opposite triangles is same. Can someone please help with a proof. A simple proof would be welcome. Links to proof are also fine.
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  2. #2
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    Re: Geometry Proof : Product of area ofdiagonally opposite triangles in a quadrilater

    The area of a triangle with two sides a and b with included angle \theta is
    \frac{1}{2}ab\sin \theta.
    Call four the four sublengths of the diagonals a,b,c,d and use the above formula four times.
    Remember that \sin (180 - \theta) = \sin \theta.
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