Step-by-step answer:
Given:
In a triangle ABC, AD is the bisector of angle A ....If AB=5.6cm ,AC=4cm and DC=3cm, find BD and DC
This problem can be solved by direct application of the angle bisector theorem, which states that the division of the side opposite to the bisected angles is proportional to the respective sides.
Here we have:
Bisector: AD
Side divided: DC = 3 cm
Length of AB = 5.6
Length of AC = 4.0
Then BD = AB/AC * DC = 5.6/4.0 * 3 = 4.2
BC = BD+DC = 4.2+3 = 7.2
