Triangle Lengths Relationship

Relationship of a^2 + b^2 to c^2 when angle C is Obtuse, Right or Acute

The following relationship holds for different angle of angle C. if angle C is right angle, a^2 + b^2 = c^2 if angle C is obtuse, a^2 + b^2 < c^2 if angle C is acute, a^2 + b^2 > c^2