In Fig. 4.139, `/_A B C=90o` and `B D_|_A C` . If `B D=8c m` , `A D=4c m` , find `C D` . (FIGURE)

In Fig. 4.95, 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 . (FIGURE)

In Fig. 21, A B C D is a parallelogram, D L_|_A Bdot If A B=20\ c m , A D=13\ c m and area of the parallelogram is 100 c m^2 find A Ldot

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 Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in which /_B=90o . If A D=23 c m , A B=29 c m and D S=5c m , find the radius r of the circle. (FIGURE)

In Fig. 4.144, we have A B C D E F . If A B=6c m , C D=x\ c m , E F=10 c m , B D=4c m and D E=y\ c m , calculate the values of x and y . (FIGURE)

In Fig.20, 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 Ldot

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In fig. 15 A B C D is a parallelogram C M_|_A B and B L_|_A Ddot If \ A B=16\ c m ,\ A D=12\ c m , C M=10\ c m ,\ find \ B L\ If \ A D=10 c m ,\ C M=8c m ,\ B L=12\ c m ,\ find A B .

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 Fig. 4.178, D E B C (FIGURE) 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 .