Sunday, September 14, 2008

Problem Of The Week 16

Points M and N are taken on the hypotenuse of a right triangle ABC so that BC=BM and AC=AN.. Find <MCN

A relatively easy problem, still try to do it. You will benefit from it
Posted by Unknown at 1:04 AM
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4 comments:

  1. ankajSeptember 15, 2008 at 1:38 PM

    Answer is 45 degrees???

    ReplyDelete
  2. outtimedSeptember 15, 2008 at 1:54 PM

    yupp

    ReplyDelete
  3. milindSeptember 15, 2008 at 4:28 PM

    Since no constraints are given, we take the triangle to be isos rt. triangle.
    So AC=BC
    Now, join CM and CN
    In triangle, BMC, <CBM=45
    so, <BCM=<BMC=67.5
    so, <ACM=22.5
    similarly <BCN=22.5
    So, <MCN=90-22.5-22.5=45deg

    ReplyDelete
  4. outtimedSeptember 15, 2008 at 5:43 PM

    well we can do without the assumption too,
    its a simple geometry problem

    but well done

    ReplyDelete

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