the triangle abc , seg ad is bisector of angle bac then write proportion
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Let BD=x cm. Then, DC=(6-x) cm.
Since AD is the bisector of ∠A.
∴ ACAB=DCBC
⇒ 1410=6−xx
⇒ 75=6−xx
⇒ 30−5x=7x
⇒ 12x=30
⇒ x=25=2.5cm
⇒ BD=2.5cm and
DC=(6−x)cm=(6−2.5)cm=3.5cm
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