Prove that the Area of ParallelogramACC'A'=b^2

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- October 31st 2010, 12:00 PMMATNTRNGArea Question...
Prove that the Area of Parallelogram

*ACC'A'*=*b*^2

- October 31st 2010, 02:04 PMArchie Meade
If we take it that the triangle with sides a, b, c is right-angled such that

and the inner shape with sides c is a square, then if we label the angle and side as shown in the attachment..

and the area of the required shape equals the rectangle area,

we only need calculate .

Using the larger triangle...

Hence, it's straightforward to calculate in terms of .