In Fig. 4.224, `D E C B` . Determine `A C` and `A E` . (FIGURE)

In Figure, D E || C B . Determine A C and A E .

In Fig.4.224,DECB. Determine AC and AE.( FIGURE)

In Fig. 4.244, if /_A D E=/_A B C , then C E= (FIGURE) (a) 2 (b) 5 (c) 9//2 (d) 3

In Fig. 4.246, if P B C F and D P E F , then (A D)/(D E)= (FIGURE) 3/4 (b) 1/3 (c) 1/4 (d) 2/3

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

In Fig. 4.220, D is the mid-point of side B C and A E_|_B C . If B C=a ,\ \ A C=b ,\ \ A B=c ,\ \ E D=x ,\ \ A D=p and A E=p and A E=h , prove that: (FIGURE) b^2=p^2+a x+(a^2)/4 (ii) c^2=p^2-a x+(a^2)/4 (iii) b^2+c^2=2\ p^2+(a^2)/2

In Fig. 4.220, D is the mid-point of side B C and A E_|_B C . If B C=a , A C=b , A B=c , E D=x , A D=p and A E=p and A E=h , prove that: (FIGURE) b^2=p^2+a x+(a^2)/4 (ii) c^2=p^2-a x+(a^2)/4 (iii) b^2+c^2=2 p^2+(a^2)/2

In Fig. 4.170, A B C D is a trapezium in which A B∥ D C and A B=2\ D C . Determine the ratio of the areas of A O B and C O D . (FIGURE)

In Fig. 4.125, F E C~= G B D and /_1=/_2 . Prove that A D E A B C . (FIGURE)