Question #ad0e0 Geometry Special Properties and Parts of Triangles Perpendicular Bisectors 1 Answer CW 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# Answer link Related questions What is a perpendicular bisector? What is the difference between medians, perpendicular bisectors, and altitudes? What is an example of a real world situation that implies the perpendicular bisector theorem? How do you find the perpendicular bisectors of a triangle? How do you write the equation of the perpendicular bisector of the segment with the given... How do you find the equation for the perpendicular bisector of the segment with endpoints... How do I find the equation of a perpendicular bisector of a line segment with the endpoints... What is the difference between a bisector and a perpendicular bisector? Given point A #(-2,1)# and point B #(1,3)#, how do you find the equation of the line... How do I write an equation for the perpendicular bisector of the segment joining the points... See all questions in Perpendicular Bisectors Impact of this question 1470 views around the world You can reuse this answer Creative Commons License