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The Unknown Side (Posted on 2002-07-01) Difficulty: 3 of 5
ABC is a triangle:
  • Angle A < 90.
  • D is a point on BC such that BD = DC.
  • M is a point on BC such that AM is perpendicular to BC.

    If
  • AD = 10,
  • BC = 12 and
  • MC = 11
    find the length of AC.
  • See The Solution Submitted by Dulanjana    
    Rating: 2.9091 (11 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    Some Thoughts try.. | Comment 1 of 15
    MC = 11 gives BM = 1 and MD = 5

    with MD = 5, AD = 10, AMD = 90
    find AM

    with AM = x, BM = 1, AMB = 90
    find AB

    with AB = x, BD = 6, AD = 10
    find ABC

    with
    ABC = x, AB = y, BC = 12
    find AC
      Posted by Cheradenine on 2002-07-01 05:10:22
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