Q13 of 56 Page 135

If in ΔABC AD is the bisector of ∠A and AB = 8 cm, BD = 5 cm and DC = 4 cm then find AC.

Given,


AB = 8 cm


BD = 5 cm


DC = 4 cm



By internal angle bisector theorem, the bisector of internal angle of a triangle divides the side opposite to the angle in the ratio of the other two sides.


In ΔABD & ΔADC,


∠A has internal bisector AD



Putting the values of AB,BD and DC,




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