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Math Help - Triangle Problem - Given altitude and side length

  1. #1
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    Triangle Problem - Given altitude and side length

    Triangle Problem - Given altitude and side length-img_0406.jpg

    The length of the side is 30 and the altitude of the triangle is 40.
    I can't seem to solve for x. I would know how to solve it if it were a right triangle. Then I could use the geometric mean theorem to solve it, however this is not the case. Any thoughts?
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  2. #2
    Senior Member MacstersUndead's Avatar
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    Re: Triangle Problem - Given altitude and side length

    This page might be useful to you: Geometry: Altitude to the Hypotenuse
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    Re: Triangle Problem - Given altitude and side length

    Thanks so much for the quick reply.
    This page is assuming that the triangle is a right triangle though.
    In my case there is no information given whether the triangle is actually a right triangle or not.
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  4. #4
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    Re: Triangle Problem - Given altitude and side length

    Quote Originally Posted by ongbakbak View Post
    Click image for larger version. 

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    The length of the side is 30 and the altitude of the triangle is 40.
    I can't seem to solve for x. You are not alone!
    I would know how to solve it if it were a right triangle. Then I could use the geometric mean theorem to solve it, however this is not the case. Any thoughts?
    You need to know 3 parts of a triangle to determine any other piece of it.

    The angle marked x has a value between 180 and 0. See attachment.
    Attached Thumbnails Attached Thumbnails Triangle Problem - Given altitude and side length-flgl3eck.png  
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    Senior Member MacstersUndead's Avatar
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    Re: Triangle Problem - Given altitude and side length

    whoops, my mistake. what I liked about the page was the discussion on similar triangles. I'm looking for properties of altitudes online since it's been a while I've been in geometry
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    Re: Triangle Problem - Given altitude and side length

    Thanks for the reply earboth.
    I thought that it was unsolvable as well.
    I was just a little confused because this question was on my math test and when I asked my teacher if it was solvable she told me that it was.
    I think she may have just written a flawed question.
    Anyways, I really appreciate the quick responses.
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