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Math Help - Triangle

  1. #1
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    Triangle

    Where are the points in a regular triangle which has the following special property: from the distances to the sides (from the points) a triangle can be constructed.

    The solution can be seen in the figure attached but I don't know how to prove it.
    Attached Thumbnails Attached Thumbnails Triangle-triangle.png  
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  2. #2
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    Hello,
    Quote Originally Posted by james_bond View Post
    Where are the points in a regular triangle which has the following special property: from the distances to the sides (from the points) a triangle can be constructed.

    The solution can be seen in the figure attached but I don't know how to prove it.
    I'm sorry, I really want to help, but I don't understand what you are asking
    what does it mean "from the distances to the sides a triangle can be constructed" ?

    The way I understand "distance from a point to a side" is the shortest distance from this point to any point of the side. (it's also the length of the perpendicular to the side coming from the point)
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  3. #3
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    It's the length of the perpendicular to the side coming from the point. And triangle can be constructed means that the sum of any two lengths is greater than the remaining length. Waiting for your help as I'm really in stuck. As you can I've constructed it with GeoGebra and I've found the solution, the points but I really don't know how I can prove it (without starting to write equation of lines for pages..)
    If you still don't understand the question please ask!
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