pythagoras theorem proof Archives

Using Similarity to Prove the Pythagorean Theorem

May 21, 2012 GB High School Geometry

The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it’s very elementary; even high school students know it by heart. Second, it has hundreds of proofs. The proof below uses triangle similarity.

Pythagorean Theorem

In a right triangle with side lengths $a$ and $b$ and hypotenuse $c$ , the following equation always holds:

$c^2 = a^2 + b^2$ . » Read more

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