In Fig. 4.41, `A D` is the bisector of `/_A` . If `B D=4c m` , `D C=3c m` and `A B=6c m` , determine `A C` . (FIGURE)

In Fig. 4.42, A D is the bisector of /_B A C . If A B=10 c m . A C=14 c m and B C=6c m , find B D and D C . (FIGURE)

In Fig. , A D bisects /_A ,\ \ A B=12 c m ,\ \ A C=20 c m and B D=5c m , determine C D

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 /_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 .

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 B C , the bisector of /_A intersects B C in D . If A B=18 c m , A C=15 c m and B C=22 c m , find B D

In Figure, A C > A B and A D is the bisector of /_ A . Show that A D C >/_A D B .

In the figure given below D E || B C . If A D=2. 4 c m , D B=3. 6 c m and A C=5c m , Find A E .

In a /_\ A B C , A D is the bisector of /_A , meeting side B C at D . (i) 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 Fig. 4.178, D E∥ B C (FIGURE) (i) If D E=4c m , B C=6c m and Area ( A D E)=16\ c m^2 , find the area of A B C . (ii) If D E=4c m , B C=8c m and Area ( A D E)=25\ c m^2 , find the area of A B C . (iii) If D E : B C=3:5 . Calculate the ratio of the areas of A D E and the trapezium B C E D .