In triangle ABC , AD is the bisector of angle BAC , if AB =8cm , BD=6cm and DC=3cm then AC is equal to
(A) 4cm
(B) 6cm
(C) 3cm
(D) 8cm

Question

In triangle ABC , AD is the bisector of angle BAC , if AB =8cm ,
BD=6cm and DC=3cm then AC is equal to
(A) 4cm
(B) 6cm
(C) 3cm
(D) 8cm

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_56a517540d780%20png"
style="width: 415px; height: 309px;">
In ∆ABC,∵ AD is angle bisector of ∠BAC∴ ABAC=BDCD⇒8AC=63⇒AC=8×36⇒AC=4 cmHence, the correct option is A
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In triangle ABC , AD is the bisector of angle BAC , if AB =8cm , BD=6cm and DC=3cm then AC is equal to (A) 4cm (B) 6cm (C) 3cm (D) 8cm

In triangle ABC , AD is the bisector of angle BAC , if AB =8cm , BD=6cm and DC=3cm then AC is equal to
(A) 4cm
(B) 6cm
(C) 3cm
(D) 8cm