A triangle has corners at points A, B, and C. Side AB has a length of #18 #. The distance between the intersection of point A's angle bisector with side BC and point B is #3 #. If side AC has a length of #21 #, what is the length of side BC?
1 Answer
Jun 6, 2016
Explanation:
Please refer to figure below.
Here let
Further, bisector of angle
In such a triangle according to angle bisector theorem, bisector of angle
in the ratio of the two sides containing the angle.
In other words,
Hence