In a ΔABC, AB = 10 cm, AC = 14 cm and BC = 6 cm. If AD is the internal bisector of ∠A, then CD is equal to:

1. 3.5 cm

2. 4.8 cm

3. 7 cm

4. 10.5 cm

In the given figure, two line segments AC and BD intersect each other at point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then ∠PBA = ?

1. 30°

2. 50°

3. 60°

4. 100°

The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is :

1. 1 : 3

2. 1 : 9

3. 3 : 1

4. 9 : 1

If in triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B is equal to :

1. 35°

2. 65°

3. 75°

4. 85°