Pythagorean Theorem: If a right triangle has legs of length a and b and hypotenuse of c, then c2 = a2 + b2 . Sum of angles: The interior angles of a...

Pythagorean Theorem: If a right triangle has legs of length a and b and hypotenuse of c, then c2 = a2 + b2 . Sum of angles: The interior angles of a triangle sum to a straight angle. Q: I know a postulate is supposed to be different from a theorem, but I can"t see any systematic difference. Is there one? A: Yes and no. Many theorems are delicate and complicated truths that you would never perceive immediately to be true (as one is supposed to with postulates). However, the theorems listed on the previous sheet were the most basic ones, that could indeed have been taken as postulates. Why weren"t they?