A triangle has corners at points A, B, and C. Side AB has a length of #9 #. The distance between the intersection of point A's angle bisector with side BC and point B is #6 #. If side AC has a length of #15 #, what is the length of side BC?

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Answer 1 · 2016-09-24T05:23:16

#16#

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Angle bisector theorem : #(AB)/(BD)=(AC)/(DC)#

Given that #AB=9, BD=6, AC=15#
#=> DC=(15xx6)/9=10#

#BC =BD+DC#
#=> BC=6+10=16#