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