Question

4. In a AABC, AD is the bisector of angleA.
(I) If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm,
find DC.

(II) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.

(III) If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC.

(IV) If AB = 5.6 cm, AC = 4 cm and DC = 3 cm, find BC.​

Answer 1

Step-by-step explanation:

solution:-

In triangle abc AD is the bisector of Angle A.

so by angle bisector theorem we get

BD/DC = AB/ AC

5.6/DC = 6.4/ 8

6.4DC = 44.8

DC = 44.8/6.4

DC = 448/640

DC = 7

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