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Essay text:
The underlying configuration became known under a variety of names, the Bride's Chair likely being the most popular.
First of all, ABF = AEC by SAS. This is because, AE = AB, AF = AC, and
BAF = BAC + CAF = CAB + BAE = CAE.
1)We start with two squares with sides a and b, respectively, placed side by side. The total area of the two squares is a2+b2.
2)The construction did not start with a triangle but now we draw two of them, both with sides a and b and hypotenuse c. Note that the segment common to the two squares has been removed. At this point we therefore have two triangles and a strange looking shape...
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