In a ` A B C` , `A D` is the bisector of `/_B A C` . If `A B=6c m` , `A C=5c m` and `B D=3c m` , then `D C=` `11. 3 c m` (b) `2. 5 c m` (c) `3:5c m` (d) None of these

In a A B C , A D is the bisector of /_B A C . If A B=8c m , B D=6c m and D C=3c m . Find A C 4c m (b) 6c m (c) 3c m (d) 8c m

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A B=10 c m , A C=14 c m and B C=6c m , find B D and D C (ii) If A C=4. 2 c m , D C=6c m and B C=10 c m , find A B . (iii) If A B=5. 6 c m , A C=6c m and D C=3c m , find B C .

In a A B C , A D is the bisector of /_A , meeting side B C at D . If B D=2. 5 c m , A B=5c m and A C=4. 2 c m , find D C . (ii) If B D=2c m , A B=5c m and D C=3c m , find A C . (iii) If A B=3. 5 c m , A C=4. 2 c m and D C=2. 8 c m , find B D .

In Figure, if A C is bisector fo /_B A D such that A B=3\ c m\ a n d\ A C=5\ c m , then C D= 2\ c m (b) 3\ c m (c) 4\ c m (d) 5\ c m

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A D=5. 6 c m , B C=6c m and B D=3. 2 c m , find A C . (ii) If A B=10 c m , A C=6c m and B C=12 c m , find B D and D C .

A B C D E F . If B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)= 108 c m^2 (b) 96 c m^2 (c) 48 c m^2 (d) 100 c m^2

In Fig. 4.57, A E is the bisector of the exterior /_C A D meeting B C produced in E . If A B=10 c m , A C=6c m and B C=12 c m , find C E . (FIGURE)

In Figure, A B C D is a parallelogram. If A B=12\ c m ,\ \ A E=7. 5\ c m ,\ C F=15\ c m , then A D= 3 cm (b) 6 cm (c) 8 cm (d) 10.5 cm

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=5c m , A C=10 c m , B D=1. 5 c m and C D=3. 5 c m (ii) A B=4c m , A C=6c m , B D=1. 6 c m and C D=2. 4 c m (iii) A B=8c m , A C=24 c m , B D=6c m and B C=24 c m