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The Hinge Theorem Sec 5.6

Hinge Theorem - 5.14. If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle.. .

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The Hinge Theorem Sec 5.6

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    1. The Hinge Theorem Sec 5.6 Goal: To use the hinge theorem

    2. Hinge Theorem - 5.14 If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle.

    3. Hinge Theorem Converse - 5.1 If two sides of one 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 triangle, then the included angle of the first triangle is larger than the included angle of the second triangle.

    4. Example Complete with <, >, or =.

    5. Example Use an inequality to describe a restriction on the value of x as determined by the Hinge Theorem or its converse.

    6. Example List the sides from smallest to largest.

    7. Example List the sides from smallest to largest.

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