Question : In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm then what is BD : BC ?

Option 1: 5 : 3

Option 2: 7 : 5

Option 3: 5 : 2

Option 4: 5 : 7

Question : In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm, then what is BD : DC?

Option 1: 10 : 7

Option 2: 5 : 7

Option 3: 7 : 5

Option 4: 7 : 10

Question : In a triangle ABC a straight line parallel to BC intersects AB and AC at D and E, respectively. If AB = 2AD, then DE : BC is:

Option 1: 2 : 3

Option 2: 2 : 1

Option 3: 1 : 2

Option 4: 1 : 3

Question : ABC is a right angle triangle and $\angle ABC = 90^{\circ}$. BD is perpendicular on the side AC. What is the value of $(BD)^2$?

Option 1: $AD\times DC$

Option 2: $BC\times AB$

Option 3: $BC\times CD$

Option 4: $AD\times AC$

Question : In $\triangle$ABC, $\angle$B = 35°, $\angle$C = 65° and the bisector of $\angle$BAC meets BC in D. Then $\angle$ADB is:

Option 1: 40°

Option 2: 75°

Option 3: 90°

Option 4: 105°