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 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 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 Fig. 4.241, D E B C and A D=1/2B D . If B C=4. 5 c m , find D E . (FIGURE)

In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 c m , B O=6c m and P B=9c m . Find A Q . (FIGURE)

In Fig. 4.140, /_A B C=90o and B D_|_A C . If A B=5. 7 c m , B D=3. 8\ c m and C D=5. 4 c m , find B C . (FIGURE)

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. , 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 /_A , meeting side B C at D . (i) If AB=10 cm , AC=14 cm and BC=6cm , 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 .