Pythagorean Theorem Proof using Similar Triangles

Penelope Templeton
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Published on Nov 6, 2014

Proving Pythagorean Theorem using similar triangles
Given Triangle ABC drawn above in the image and prove a^2 + b^2 = c^2 using Simlar Triangles

Triangle ABC ~ Triangle ACD AA Similarity Postulate
Triangle ABC ~ Triangle CBD AA Similarity Postulate

c/a = a /x Converse of SSS Similarity Postulate
c/b = b/y Converse of SSS Similarity Postulate


a^2 = cx Cross multiply
b^2 = cy Cross multiply


a^2 + b^2 = cx + cy Adding the equations
a^2 + b^c = c (x + y) GCF

a^2 + b^2 = c^2 Substitution #

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