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Problem Of The Week 16

with 4 comments


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

Written by Implex

September 13, 2008 at 7:34 pm

4 Responses

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  1. Answer is 45 degrees???

    ankaj

    September 15, 2008 at 8:08 am

  2. yupp

    outtimed

    September 15, 2008 at 8:24 am

  3. 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

    milind

    September 15, 2008 at 10:58 am

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

    but well done

    outtimed

    September 15, 2008 at 12:13 pm


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