Thread: Area Question...

Prove that the Area of Parallelogram ACC'A' = b^2

Originally Posted by MATNTRNG

Prove that the Area of Parallelogram ACC'A' = b^2

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 .