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Question #ad0e0

1 Answer

Mar 14, 2017

#DC=2.4#

Explanation:

By Angle Bisector Theorem,

#(AB)/(AD)=(BC)/(DC)#

Let #DC=x, => AD=4-x#

#=> 3/(4-x)=4.5/x#
#=> 3x=4.5xx(4-x)=18-4.5x#
#=> 7.5x=18#
#=> x=18/7.5=2.4#

Hence, #DC=2.4#

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