Pythagoras

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Miscellaneous

 

Written by:

Fred M

 

Date added:

September 25, 2011

 

Level:

University

 

Grade:

A

 

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2 / 329

 

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4084 times

 

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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...
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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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