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