ad is the bisector of angle bac. if ab = 3 cm , ac = 5cm and ad = 1.5cm , find dc
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Here, we can see that ∠BAC is bisected by AD where AD touches BC at D. BC=BD+DC where, BC=3cm . We also have the values of adjacent sides AB=6cm and AC=5cm .
These satisfy the requirements of angle bisector theorem. Then, by the theorem, we have:
ABBD=ACDC
⇒DC=AC∗BDAB=5∗36=2.5cm
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AB/AC = BD/DC
3/5=1.5/DC
DC= 7.5/3 =2.5
hope it helps you
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