5-7 Inequalities in Two Triangles

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Presentation transcript:

5-7 Inequalities in Two Triangles

The Hinge Theorem (SAS Inequality Thm.) If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle

Problem 1: Using the Hinge Theorem

Problem 2: Applying the Hinge Theorem

Converse of the Hinge Theorem (SSS Inequality) If two sides of one triangle are congruent to two sides of another triangle, and the third sides are not congruent, then the larger included angle is opposite the longer third side

Problem 3: Using the Converse of the Hinge Theorem