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Question
In a ΔABC it is given that AD is the internal bisector of ∠A. If BD = 4 cm, DC = 5 cm and AB = 6 cm, then AC = ?
Options
4.5 cm
8 cm
9 cm
7.5 cm
MCQ
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Solution
7.5 cm
Explanation:
Use the angle-bisector theorem: `(BD)/(DC) = (AB)/(AC)`.
So, `4/5 = 6/(AC)`
⇒ `AC = 6 xx 5/4`
= `30/4`
= 7.5 cm
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