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?
Answer & explanation
Correct answer: option 1
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.