How to prove by vector method that the internal bisectors of the angles of a triangle are congruent?

Hi!
Here is the answer to your question.
The internal bisector of a triangle divides the opposite side in the ratio of the sides containing the angles.
Similarly, we can prove that I lie on the internal bisectors of angles B and C.
 
Hence, the three bisectors are concurrent.
 
Cheers!


 

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