In given figure △ ABC and △ DEF are similar, BC=3cm, EF=4cm, and area of t

Question

In given figure

△

ABC and

△

DEF are similar, BC=3cm, EF=4cm, and area of triangle ABC=54

c m^{2}

find the area of

△

DEF

c m^{2}

Answer:
:
We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
So

\frac{9}{16}

\frac{54}{a r e a o f △ D E F}

area of

△

DEF = 96

c m^{2}

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