If ` Delta A B C ~ Delta D E F` such that `B C=3c m` , `E F=4c m` and `a r( A B C)=54 c m^2` , then `a r( D E F)=`

If triangle A B C is similar to triangle D E F such that B C=3cm ,E F=4c m and area of triangle A B C=54c m^2 . Determine the area of triangle D E Fdot

If ΔA B C ∼ ΔD E F such that A B=5c m , area (Δ A B C)=20\ c m^2 and area (Δ D E F)=45\ c m^2 , determine D E .

If A B C D E F such that D E=3c m , E F=2c m , D F=2. 5 c m , B C=4c m , then perimeter of A B C is (a) 18cm (b) 20cm (c) 12cm (d) 15cm

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.

If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ratio of areas of A B C and D E F .

In a A B C if D\ a n d\ E are mid-points of B C\ a n d\ A D respectively such that a r\ ( A E C)=4\ c m^2 , then a r\ ( B E C)= (b) 4\ c m^2 (b) 6\ c m^2 (c) 8\ c m^2 (d) 12 c m^2

In Fig. 4.178, D E∥ B C (FIGURE) (i) 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 .

Triangle ABC is such that A B=3c m , B C=2c m and C A=2. 5 c m . If D E F similar A B C and E F=4c m , then perimeter of D E F is

If A B C and D E F are similar triangles such that 2\ A B=D E and B C=8c m , then E F=

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaA B C . Show that (i) BDEF is a parallelogram. (ii) a r\ (D E F)=1/4a r\ (A B C) (iii) a r\ (B D E F)=1/2a r\ (A B C)