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Question
In a ΔABC, AD is the bisector of ∠A.
If AB = 6.4cm, AC = 8cm and BD = 5.6cm, find DC.
Solution
It is give that AD bisects ∠A.
Applying angle – bisector theorem in Δ ABC, we get:
`(BD)/(DC)=(AB)/(AC)`
⟹`(5.6)/(DC)=6.4/8`
⟹DC `=(8xx5.6)/6.4=7cm`
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