Pythagorean Theorem Proof Using Similarity. Pythagorean theorem proof using similarity. The pythagorean theorem says that, in a right triangle, the square of a (which is a×a, and is written a 2) plus the square of b (b 2) is equal to the square of c (c 2):
It is commonly seen in secondary school texts. The pythagoras theorem definition can be derived and proved in different ways. And it's a right triangle because it has a 90 degree angle, or has a right angle in it.
The proof below uses triangle similarity.
If they have two congruent angles, then by aa criteria for similarity, the triangles are similar. This is the currently selected item. Once students have some comfort with the pythagorean theorem, they’re ready to solve real world problems using the pythagorean theorem. The pythagoras theorem definition can be derived and proved in different ways.