Pythagorean Theorem Proof Using Similarity. It is commonly seen in secondary. There is a very simple proof of pythagoras theorem that uses the notion of similarity and some algebra.
When we introduced the pythagorean theorem we proved it in a manner very similar to the way pythagoras originally proved it using geometric shifting and rearrangement of 4 identical copies of a right triangle. The pythagorean theorem is just a special case of another deeper theorem from trigonometry called the law of cosines c 2 a 2 b 2 2 a b cos c where c is the angle opposite to the long side c. There is a very simple proof of pythagoras theorem that uses the notion of similarity and some algebra.
Second it has hundreds of proofs.
May 21 2012 gb high school geometry the pythagorean theorem is one of the most interesting theorems for two reasons. The pythagorean theorem is just a special case of another deeper theorem from trigonometry called the law of cosines c 2 a 2 b 2 2 a b cos c where c is the angle opposite to the long side c. May 21 2012 gb high school geometry the pythagorean theorem is one of the most interesting theorems for two reasons. Proofs of pythagoras theorem using similarity two figures are said to be similar if one can be obtained from the other by a simple uniform scale change.