If the ratio of corresponding sides of two similar triangles is $\sqrt{3}:\sqrt{2}$ then what is the ratio of the area of the two triangles?

3 : 2

Concept used

\(\frac{Area\,of\,one\,triangle}{Area\,of\,second\,triangle}\) = {\(\frac{side\,of\,1st\,triangle}{side\,of\,2nd\,triangle}\)}²

Calculation

\(\frac{Area\,of\,one\,triangle}{Area\,of\,second\,triangle}\) = \(\frac{3}{2}\)

Therefore the ratio of area of two similar triangles is 3 : 2.