9. In a ∆ABC, AD is the bisector of ∠A, meeting the side BC at D. If BD = 2cm, AB = 5cm and
DC = 3 cm, find AC
ans me
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9. In a ∆ABC, AD is the bisector of ∠A, meeting the side BC at D. If BD = 2cm, AB = 5cm and
DC = 3 cm, find AC
ans me
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[tex]\huge\bold{\boxed{\rm{\red{Solution}}}}[/tex]
According to angle bisector theorem
[tex] \frac{AB}{BD} = \frac{AC}{DC} \\ \\ AC = \frac{AB \times DC}{BD} \\ \\ \frac{5 \times 3}{2} \\ \\ = 7.5 \: cm[/tex]
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