In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm, AC = 15 cm and BD = 6 cm. Find the length of BC (in cm.)
Explanation:
In ∆ABC, using angle bisector theorem,
⇒ AB/AC = BD/CD
⇒ 10/15 = 6/CD
⇒ CD = 9 cm.
∴ BC = 6 + 9 = 15 cm.
Hence, option (c).
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