Prove the Triangle Inequality Theorem GIVEN C PROVE (1) AB BC AC (2) AC BC AB (3) AB AC BC Plan for Proof One side, say BC, is longer than or at least as long as each of the other sides Then (1) and (2) are true To prove (3), extend AC to D so that AB AD and use Theorem 5 11 to show that DC BC ...

To prove the Triangle Inequality Theorem well prove each part step by step Given ABC The Triangle In ...

Prove the Triangle Inequality Theorem. GIVEN > C PROVE (1) AB + BC > AC (2) AC

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Prove the Triangle Inequality Theorem.

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Holt McDougal Larson Geometry

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Authors: Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

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Question Posted: Jul 22, 2023 12:10 AM

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Prove the Triangle Inequality Theorem. GIVEN > C PROVE (1) AB + BC > AC (2) AC

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GIVEN > ΔΑΒC PROVE (1) AB + BC > AC (2) AC + BC> AB (3) AB + AC > BC Plan for Proof One side, say BC, is longer than or at least as long as each of the other sides. Then (1) and (2) are true. To prove (3), extend AC to D so that AB = AD and use Theorem 5.11 to show that DC> BC.

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Holt McDougal Larson Geometry

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