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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

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# A Problem On Similarity

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