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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.)
    Pythagoras | Comment 7 of 15 |
    BD=DC therefore BD must be 6 and DC=6
    CM=11, 11-6=5 therefore DM=5
    AM²=10²-5²=75
    AM²+MC²=AC²
    75+121=196
    √196=14
    Answer AC=14
      Posted by Michael on 2003-02-02 23:33:45
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