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

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

Three vertices of a triangle are A (1, 2), B (-3, 6) and C(5, 4) . If D, E and F are the mid-points of the sides opposite to the vertices A, B and C, respectively, show that the area of triangle ABC is four times the area of triangle DEF.

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 the given figure, A B C D is a rectangle with A D=4 units and A E=E BdotE F is perpendicular to D B and is half of D F . If the area of the triangle D E F is 5 sq. units, then what is the area of A B C D ? 18sqrt(3) sq. units (b) 20 sq. units (c) 24 sq. units (d) 28 sq. units

A B C is a triangle in which D is the mid-point of B C ,\ E\ a n d\ F are mid-points of D C\ a n d\ A E respectively. If area of A B C is 16\ c m^2, find the area of D E F

Two triangles ABC and DEF such that /_A=/_D,/_B=/_E and /_C=/_F. Then

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.

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 .