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Math Help - If ABCD is a rectangle and P is any point its interior, prove" AP˛+PC˛ =PB˛+PD˛

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    If ABCD is a rectangle and P is any point its interior, prove" AP˛+PC˛ =PB˛+PD˛

    If ABCD is a rectangle and P is any point its interior, prove" AP˛+PC˛ =PB˛+PD˛
    please help!
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    Quote Originally Posted by erika2974 View Post
    If ABCD is a rectangle and P is any point its interior, prove" AP˛+PC˛ =PB˛+PD˛
    please help!
    Hi erika,

    draw a rectangle and label the corners ABCD.
    Pick any point in the interior, label it P.

    Join P to all 4 corners by drawing lines and also draw the vertical lines (parallel to the 2 vertical sides) from P to the base and top of the rectangle.

    Now you can use Pythagoras' theorem on the 4 resulting right-angled triangles.
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