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anonymous

  • 4 years ago

Please help.I am confused! Inside a square ABCD construct the equilateral triangles ABK,CDM,and DAN.Prove that the midpoints of the segments KL,LM,MN,NK and those of AN,AK,BK,BL,CL,CM,DM, and DN are the vertices of a regular dodecagon.

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  1. jhonyy9
    • 4 years ago
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    little down on your question - so if you check it - i have do it one picture please you write there if is this right,correct

  2. anonymous
    • 4 years ago
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    Use coordinate geometry

  3. anonymous
    • 4 years ago
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    Take A=(0,0) B=(a,0) C=(a,a) D=(0,a) Use this only if you have given up for planar geometry

  4. anonymous
    • 4 years ago
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    Olympiad again?

  5. anonymous
    • 4 years ago
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    IMO 1974!

  6. anonymous
    • 4 years ago
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    I actually wanted to post it in the math olympiad group.But I am its only member!

  7. anonymous
    • 4 years ago
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    Where AL is intersected by Bl it is bisected

  8. anonymous
    • 4 years ago
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    You are reading form this ( http://www.scribd.com/dorh7343/d/23254911-Mathematical-Olympiad-Challenges) book isn't ?

  9. anonymous
    • 4 years ago
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    yes

  10. anonymous
    • 4 years ago
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    It has solutions isn't?

  11. anonymous
    • 4 years ago
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    yes it does;but I want a pure geometric proof.

  12. anonymous
    • 4 years ago
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    Hm good luck :)

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