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 Figure, /_A B C=90^o and B D_|_A C . If B D=8c m , A D=4c m , find C D .

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. 9.15, ABCD is a parallelogram, A E_|_D C and C F_|_A D . If A B\ =\ 16\ c m , A E\ =\ 8\ c m and C F\ =\ 10\ c m , find AD.

In Figure if /_A D E=/_B show that A D E ~ A B C . If A D=3. 8 c m , A E=3. 6 c m , B E=2. 1 c m and B C=4. 2 c m , find D E .

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 Figure, A B C D is a parallelogram, D L_|_A B and D M_|_B Cdot If A B=18\ c m , B C=12\ c m and D M=9. 3\ c m , find D L .

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 . 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. if A B_|_B C and D E_|_A C . Prove that A B C ~ A E D

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 .