Question

10. In A ABC, the bisector of ZA intersects BC
at D. If AB = 8, AC = 10 and BC = 9, find
BD and DC.
de​

Answer 1

Step-by-step explanation:

If AD is angle bisector of angle A

then AB:AC= BD:DC (IT IS THEOREM)

NOW,

AB/AC=BD/DC

8/10=BD/DC

4/5= BD/DC

HENCE BD:DC= 4:5

BC= 9

BD = BD/(BD+DC)× BC

BD= (4/9)×9= 4

DC= DC/(BD+DC)× BC

DC= 5/9×9

DC= 9

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