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The Hinge Theorem. The Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second.

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Math I Unit 3 Concept: Triangular Inequalities

The Hinge TheoremIf two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second

Math I Unit 3 Concept: Triangular Inequalities

The Hinge TheoremIf two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second

Math I Unit 3 Concept: Triangular Inequalities

The Hinge TheoremIf two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second

Math I Unit 3 Concept: Triangular Inequalities

The Hinge Theorem ConverseIf two sides of a triangle are congruent to two sides of another triangle, and the third side of the first triangle is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second

Math I Unit 3 Concept: Triangular Inequalities

The Hinge Theorem ConverseIf two sides of a triangle are congruent to two sides of another triangle, and the third side of the first triangle is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second

Math I Unit 3 Concept: Triangular Inequalities

The Hinge Theorem ConverseIf two sides of a triangle are congruent to two sides of another triangle, and the third side of the first triangle is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second

Math I Unit 3 Concept: Triangular Inequalities