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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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The hinge theorem l.jpg
The Hinge Theorem

Math I Unit 3 Concept: Triangular Inequalities


Slide2 l.jpg

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


Slide3 l.jpg

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


Slide4 l.jpg

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



Slide6 l.jpg

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


Slide7 l.jpg

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


Slide8 l.jpg

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


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