A Problem On Similarity

  • Thread starter Misr
  • Start date
  • #1
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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:

Answers and Replies

  • #2
ehild
Homework Helper
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Hint: Draw a line through D which is parallel to AC.

ehild
 
  • #3
385
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Its very easy right now
Thanks
 

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