Triangle Side Inequalities - Concept

Concept Concept (1)

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. To find a range of values for the third side when given two lengths, write two inequalities: one inequality that assumes the larger value given is the longest side in the triangle and one inequality that assumes that the third side is the longest side in the triangle. Combine the two inequalities for the final answer.

Sample Sample Problems (2)

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Triangle Side Inequalities - Problem 1
Problem 1
How to determine whether given side lengths could form a triangle using the triangle side inequalities. Video explanation and sample problems on triangle inequalities.
Triangle Side Inequalities - Problem 2
Problem 2
How to determine the range of possible values for the third side of a triangle when given values of the other two.