MATH SAT PYTHAGOREAN THEORUM

A corollary of the Pythagorean theorem's converse is a simple means of determining whether a triangle is right, obtuse, or acute, as follows. Where c is chosen to be the longest of the three sides anda + b > c (otherwise there is no triangle according to the triangle inequality). The following statements apply:^[28]

• If a² + b² = c², then the triangle is right.
• If a² + b² > c², then the triangle is acute.
• If a² + b² < c², then the triangle is obtuse.