In Fig. 4.60, check whether `A D` is the bisector of `/_A` of ` A B C` in 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`

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 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 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

Construct a quadrilateral A B C D in which A B=3. 8 c m ,\ B C=3. 0 c m ,\ A D=2. 3 c m ,\ A C=4. 5 c m\ a n d\ B D=3. 8 c mdot

Construct a parallelogram A B C D where A B=3. 6 c m ,\ B C=4. 2 c m\ a n d\ A C=6. 5 c mdot

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 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 . (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 .

Construct a quadrilateral A B C D in which . A B = 7. 5 c m ,\ A C=A D=6c m ,\ C D=5c m\ a n d\ B D=10 c mdot