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The triangles must be congruent.
An indirect proof is a proof by contradiction.
Before using Corresponding Parts of a Congruent Triangle are Congruent theorem (CPCTC) in a geometric proof, you must first prove that there is a congruent triangles. This method can be used for proving polygons and geometrical triangles.
A proof written in the form of a paragraph (as opposed to a two-column proof)
Actually, the theorem has been used long ago before mathematician called Pythagoras came along. It was previously already applied in Indian society. The theorem only came to be known as "Pythagoras Theorem" because he (or his students) were the first ones to construct a proof for the theorem.