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Question

In a ΔABC,AD is the bisector of A, meeting side BC atD.
If AB=10cm,AC=14cm and BC=6cm,
Find BD and DC.

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Solution

According to angle bisector theorem,
ABBD=ACDC
BD=AB×CDAC
BD=AB×(6BD)AC=10×(6BD)14
14BD=6010BD
BD=2.5 cm
DC=6BD=62.5=3.5 cm

1358263_1192227_ans_8a561b0e37de410fa6ba3c5ba52b6937.png

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