# DEPRECATED Pythagorean Theorem proofs

### Problem

The following "proof" of the converse of the Pythagorean Theorem contains an error.
Find the incorrect step in the proof.
In the triangle, A, B, C below, assume
space, space, a, start superscript, 2, end superscript, plus, b, start superscript, 2, end superscript, equals, c, start superscript, 2, end superscript.
Then the triangle is a right triangle (that is, angle, C is a right angle.)
To start the proof, consider the right triangle triangle, E, F, G with legs the same length as the legs of triangle, A, B, C, a and b.
Proof: