Triangles `A B C` and `D E F` are similar. If area `( A B C)=36\ c m^2` , area `( D E F)=64\ c m^2` and `D E=6. 2 c m ,` find `A Bdot` (ii) If `A B=1. 2 c m` and `D E=1. 4 c m` , find the ratio of the areas of ` A B C` and ` D E F` .

Triangles A B C and D E F are similar. If area ( A B C)=16 c m^2 , area ( D E F)=25 c m^2 and B C=2. 3 c m , find E Fdot (ii) If area ( A B C)=9 c m^2 , area ( D E F)=64 c m^2 and D E=5. 1 c m , find A Bdot (iii) If A C=19 c m and D F=8c m , find the ratio of the area of two triangles.

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 .

A B C D E F , a r( A B C)=9c m^2 , a r( D E F)=16 c m^2 . If B C=2. 1 c m , then the measure of E F is 2. 8 c m (b) 4. 2 c m (c) 2. 5 c m (d) 4. 1 c m

A B C D E F . If B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)= 108 c m^2 (b) 96 c m^2 (c) 48 c m^2 (d) 100 c m^2

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

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=6\ c m , D B=9\ c m and A E=8\ c m , find A C . (ii) If (A D)/(D B)=3/4 and A C=15\ c m , find A E . (iii) If (A D)/(D B)=2/3 and A C=18\ c m , find A E .

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a A B C . Determine the ratio of the areas of D E F and A B C .

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=2 c m , A B=6 c m and A C=9 c m , find A E . (ii) If (A D)/(B D)=4/5 and E C=2. 5 c m , find A E . (iii) If A D=x , D B=x-2 , A E=x+2 and E C=x-1 , find the value of x .

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A B=10 c m , A C=14 c m and B C=6c m , 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 .

In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ,\ D C=x\ c m , and distance between A B\ a n d\ D C is 4c m . Find the value of x and area of trapezium A B C D