## ANGLE BISECTOR THEOREM PRACTICE QUESTIONS WITH SOLUTIONS

(1)  In a triangle ABC, AD is the internal bisector of angle A, meeting BC at D.

(i) If BD = 2 cm, AB = 5 cm, DC =3 cm find AC.   Solution

(ii) If AB = 5.6 cm, AC = 6 cm and DC = 3 cm find BC.

Solution

(iii) If AB = x, AC = x – 2 cm, BD = x + 2 cm and DC = x – 1 find the value of x.           Solution

(2) Check whether AD is the bisector of angle A of the triangle ABC in each of the following.

(i) AB  =  4 cm, AC  =  6 cm, BD  =  1.6 cm and CD  =  2.4 cm

Solution

(ii) AB  =  6 cm, AC  =  8 cm, BD  =  1.5 cm and CD  =  3 cm

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