Triangle Side and Angle Inequalities - Concept

Concept Concept (1)

In any triangle, the largest angle is opposite the largest side (the opposite side of an angle is the side that does not form the angle). The shortest angle is opposite the shortest side. Therefore, the angle measures can be used to list the size order of the sides. The converse is also true: the lengths of the sides can be used to order the relative size of the angles. Triangle side and angle inequalities are important when solving proofs.

Sample Sample Problems (3)

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Triangle Side and Angle Inequalities - Problem 1
Problem 1
How to list the angles of a triangle from smallest to largest given the side lengths.
Triangle Side and Angle Inequalities - Problem 2
Problem 2
How to list the sides of a triangle from longest to shortest given the measures of the interior angles.
Triangle Side and Angle Inequalities - Problem 3
Problem 3
How to list the sides of adjacent triangles from shortest to longest given the measures of some interior angles.