A triangle has corners at points A, B, and C. Side AB has a length of #36 #. The distance between the intersection of point A's angle bisector with side BC and point B is #12 #. If side AC has a length of #46 #, what is the length of side BC?

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Answer 1 · 2016-09-26T01:52:33

#27.3333#

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

Given that #AB=36, BD=12, AC=46#

#=> DC=(46xx12)/36=15.3333#

#BC =BD+DC#
#=> BC=12+15.3333=27.3333#