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in Triangles by (34.5k points)
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AD is the angular bisector of ‘A’. If AB = 6 cm, BD = 8 cm and DC = 6 cm, then AC = ………… cm.

(A) 4.5

(B) 4 

(C) 4.8 

(D) 5.6

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (A) 4.5

Given that AD is angle bisector of \(\angle A\) which meets BC at D.

\(\therefore\) \(\frac{BD}{DC}=\frac{AB}{AC}\)         (By internal angle bisector theorem)

\(\Rightarrow AC=AB.\frac{DC}{BD}\)

\(=6\times\frac68\)       \((\because AB=6\,cm,DC=6\,cm\;\&\;BD=8\,cm)\)

\(=\frac92=4.5\,cm\)

+1 vote
by (35.6k points)

Correct option is: (A) 4.5

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