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Thread: Find angles of triangle if AB+AD=CD and AC+AD=BC (very hard for me)

  1. #1

    Find angles of triangle if AB+AD=CD and AC+AD=BC (very hard for me)

    This question is much harder than it looks. I tried for a very long time but could not solve it.

    Let AD be the angle bisector of angle A in triangle ABC. Given that AB+AD=CD and AC+AD=BC, find the angles of triangle ABC.

    @below
    Sorry I understand now. I tried a ton of law of cosines bashing and representing the lengths in terms of the sides of the triangle but I could not find a clean way to find the angles of the triangle.
    Last edited by project math; 10-07-2017 at 02:38 PM.

  2. #2
    Elite Member
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    Quote Originally Posted by project math View Post
    This question is much harder than it looks. I tried for a very long time but could not solve it.

    Let AD be the angle bisector of angle A in triangle ABC. Given that AB+AD=CD and AC+AD=BC, find the angles of triangle ABC.


    What are your thoughts?

    Please share your work with us ...even if you know it is wrong.

    If you are stuck at the beginning tell us and we'll start with the definitions.

    You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

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    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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