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A Problem On Similarity

  1. Mar 5, 2010 #1
    Hi ,there

    ABC is a triangle , D is the midpoint of AB , from D draw a st. line to intersect AC at H and BC at O.
    Prove that :

    AH : HC = BO: OC
    http://img299.imageshack.us/img299/5752/similarity.jpg [Broken]
    We need to solve this problem using the similarity theorem "If a line is drawn parallel to one side of a triangle and intersects the other two sides , then it divides them into segments whose lengths are proportional ".

    Thanks in advance
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 5, 2010 #2


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    Homework Helper

    Hint: Draw a line through D which is parallel to AC.

  4. Mar 11, 2010 #3
    Its very easy right now
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