In a triangle, AD is the bisector of triagle BAC. If AB = 10 cm, AC = 14 cm and BC = 6 cm, find the length of DC.
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it is given that AD bisector of triangle BAC.
Applying angle - bisector theorem in triangle ABC,we get
BD/DC=AB/AC
let BD be x cm
therefore DC=(6-x)cm
x/(6-x)=10/14
14x=60-10x
24x=60
x=2.5cm
thus BD=2.5cm
DC=6-2.5=3.5cm
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Step-by-step explanation:
that is the answer . DC =3cm
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