Triangle Inequality
Theorem 1: If one side of a triangle is longer than another side, then the angle opposite to the longer side is larger than the angle opposite to the shorter side.
Theorem 2: If one angle of a triangle is larger than another angle, then the side opposite to the larger angle is longer than the side opposite to the smaller angle.
Theorem 3: If the measures of three sides of a triangle are unequal, then the measures of the angles opposite to those sides are unequal in the same order.
Theorem 4: If the measures of three angles of a triangle are unequal, then the measures of the sides opposite to those angles are unequal in the same order.
To learn more about triangle inequality, read the full explanation below.
Practice: Apply what you learned about Triangle Inequality Theorem by answering the following exercises.