Question

In a ΔABC, AD is the bisector of ∠A. If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC. 

Answer 1

It is given that AD bisector ∠𝐴.
Applying angle – bisector theorem in Δ ABC, we get:
`(BD)/(DC)=(AB)/(AC)`
BD = 3.2 cm, BC = 6 cm
Therefore, DC = 6- 3.2 = 2.8 cm 

⟹ `3.2/2.8=5.6/(AC)` 

⟹ `AC=(5.6xx2.8)/3.2=4.9 cm`