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Triangle Inequality Theorem: Side and Angle Relationship

Understand the relationship between the lengths of sides and the sizes of angles in a triangle using the Triangle Inequality Theorem. Explore examples and inequalities within triangles.

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Triangle Inequality Theorem: Side and Angle Relationship

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  1. Section 5-5 Inequalities in One Triangle

  2. Theorem 5-10 • If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

  3. D 10 6 N A 8 Example:

  4. Theorem 5-11 • If one angle of a triangle is larger than the other angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

  5. A T C Example: CT < TA < CA

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