geometry

Quad ABCD with diagonal DB. <adc=90, <c=91, <cbd=43. segment ad=segment dc=9.
Which segment is longer ab or ad and why? steve, how are you solving for <abd, what are you assuming about <abc?

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asked by Jacob
  1. we have two angles of triangle DCB
    <dbc = 91
    <cbd = 43, so
    <bdc = 46
    That means that
    <adb = 44

    Hmmm. Now we seem to be at an impasse.
    Given what we know, there's no way to determine <abd or <bad. Point A can be anywhere along the line joining A and D.

    ab compares to ad the same way that <adb compares to <abd, but there's no way of knowing which is greater.

    Am I missing something?

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    posted by Steve

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