http://www.cut-the-knot.org/pythagoras/index.shtml - See proof no:4 by Bhaskara.
The area of the bigger square is: (a+b)2
Area of the inner square = area of outer square - area of the 4 triangles
= (a+b)2-4*(1/2*a*b)=a2+b2
Inner square has side c. Its area is c2
Hence a**2+b**2 = c**2
Additional reading: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/v/why-aren-t-we-using-the-multiplication-sign
Additional reading: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/v/why-aren-t-we-using-the-multiplication-sign
Published on
6/16/13, 12:33 PM
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