- #1
praharmitra
- 311
- 1
Hey guys,
This is NOT homework. I remember solving this question many years ago (at least 10 years ago). I am trying to recall the solution again and am just not able to. The question is -
In a triangle ABC, AD is the angle bisector of angle BAC. AB = CD. Prove that angle BAC = 72 degrees.
A diagram is attached.
NOTE - I am actually not even sure the question has enough information as given. I am just recalling from memory. If you think more information is required give an appropriate reason as to why you think that is true.
Usually, the way I see if the question has enough information is that I try to construct a triangle given the above properties. If I can construct a unique triangle, then of course the information is enough. Else not.
Anyway, give it a try.
https://www.dropbox.com/s/wpvei01hw1nr25l/2012-06-06%2000.39.06.jpg
This is NOT homework. I remember solving this question many years ago (at least 10 years ago). I am trying to recall the solution again and am just not able to. The question is -
In a triangle ABC, AD is the angle bisector of angle BAC. AB = CD. Prove that angle BAC = 72 degrees.
A diagram is attached.
NOTE - I am actually not even sure the question has enough information as given. I am just recalling from memory. If you think more information is required give an appropriate reason as to why you think that is true.
Usually, the way I see if the question has enough information is that I try to construct a triangle given the above properties. If I can construct a unique triangle, then of course the information is enough. Else not.
Anyway, give it a try.
https://www.dropbox.com/s/wpvei01hw1nr25l/2012-06-06%2000.39.06.jpg