Explore Inequalities in Triangles with Hinge Theorem
Delve into the concept of inequalities in triangles through the Hinge Theorem, which highlights relationships between sides and angles in triangles. Discover how the theorem applies to various scenarios and problems, enhancing your understanding of geometric principles.
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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
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
