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Math Help - Heron's Formula

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    Heron's Formula

    Begininning with a right triangle of sides a, b, and c, (a is the hypotenuse, b is the base, c is the height) determine its area in two ways; by the standard A = (1/2)(base)(height) and by Heron's Formula. Equate these and manipulate the resulting, dreadful equation until you have derived the theorem of Pythagoras; a^2 = b^2 + c^2.

    See attached for Heron's Formula
    Heron's Formula-heron-f.jpg
    Last edited by MATNTRNG; October 15th 2010 at 05:20 PM.
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    4(b^2)(c^2) = -1(a^4 + b^4 + c^4) + 2((a^2)(b^2) + (a^2)(c^2) + (b^2)(c^2))
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