A triangle has corners at points A, B, and C. Side AB has a length of #38 #. The distance between the intersection of point A's angle bisector with side BC and point B is #8 #. If side AC has a length of #44 #, what is the length of side BC?
1 Answer
Jan 7, 2017
Explanation:
Let AD be the point A's bisector (D is the intersection of bisector with side BC.
By the bisector theorem there is a relation between the sides of the triangle and the parts of the side cut by the bisector:
The known sides are AB=38 and AC=44 and the part of side BC, BD=8. Then you can find DC:
Then