geometry

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In triangle abc, point B is on segment ab, and point E is on segment bc such that segment de is parallel to segment ac if db=2, da=7, de=3, what is the length of segment ac?

  • geometry-typo -

    "In triangle abc, point D is on segment ab,...."

    If you draw the diagram according to the corrected information, you will find that triangles BDE and BAC are similar.
    Since AC:DE = AB:DB, therefore
    AC=AB*DE/DB=(7+2)*3/2=13.5

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