A triangle has corners at points A, B, and C. Side AB has a length of #12 #. The distance between the intersection of point A's angle bisector with side BC and point B is #9 #. If side AC has a length of #24 #, what is the length of side BC?

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Answer 1 · 2016-03-24T13:13:43

#18#

Consider the diagram

enter image source here

Remember that any angle bisector of an angle in a triangle also bisects the opposite side to it

#:.9=dc#

#rarrdc=9#

#color(green)(rArrbc=9+9=18#