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NON EUCLIDEAN GEOMETRY Prove the following: Claim: Let AD the altitude of a triangle ▵ABC. If...

NON EUCLIDEAN GEOMETRY

  1. Prove the following:
    Claim: Let AD the altitude of a triangle ▵ABC. If BC is longer than or equal to AB and AC, then D is the interior of BC.

    What happens if BC is not the longest side? Is D still always in the interior of BC? When is D in the interior?
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