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Math Help - Prove the following in regards to line segments in triangles.

  1. #1
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    Smile Prove the following in regards to line segments in triangles.

    In the figure in the attachment

    Given that line segment PQ is parallel to line segment BC.
    part a, prove that ratio PS/SQ = BT/TC

    part b, If line segment AT is a median in triangle ABC, what can be concluded from the proof in part a? Please explain this, thank you.
    Attached Thumbnails Attached Thumbnails Prove the following in regards to line segments in triangles.-screen-shot-2010-11-21-2.03.31-am.png  
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    a. Intercept theorem - Wikipedia, the free encyclopedia

    b. BT=TS ==> PS/SQ = BT/TC=1 ==> PS=SQ, MOREOVER the triangles ATC & ATB have the same area, and so to triangles ASP & ASQ.
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Closed under the suspicion that this is for a graded assignment. The OP has gotten more than enough in hints.
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