Question

in triangle abc is similar to triangle def such that bc= 3 cm,Ef= 4 cm And area of triangle abc = 54 cmsq then area of triangle def​

Answer 1

Answer:

area of triangle DEF is 96 cmsq.

Step By Step :

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides

Therefore

A(△ABC)/A(△DEF)=BC²/EF²

= 54/A(△DEF) = 3²/4²

= 54/A(△DEF) = 9/16

= 54×16 = 9×A(△DEF)

= 864 = 9×A(△DEF)

= 864/9 = A(△DEF)

= 96 = A(△DEF)

Therefore

A(△DEF) = 96

Hope its ok..