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Math Help - Similar triangles problem

  1. #1
    Newbie
    Joined
    May 2012
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    Buenos Aires
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    Similar triangles problem

    Hello everyone! This is my first post on MHF.
    Can anybody help me solving this problem applying the properties of similar triangles?

    I know the answer is "2" but can't figure out how to get the result.

    It goes like this:
    "Let ABC be a right angled triangle such that the angle A = 90 degrees, AB = AC and let M be the mid point of the side AC. Take the point P on the side BC so that AP is vertical to BM. Let H be the intersection point of AP and BM.

    1)Find the ratio of the areas of the two triangles ABH : AHM (I did this one)
    2) Find the ratio BP : PC (This is the one I want to solve)"

    Thank you!
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  2. #2
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
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    64

    Re: Similar triangles problem

    Hint :

    \Delta ABP \sim \Delta PEC

    Similar triangles problem-quadrat.jpg
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