If the ratio of corresponding sides of two similar triangles is $\sqrt{5}:\sqrt{7}$ then what is the ratio of the area of the two triangles?

5 : 7

Formula to be used

\(\frac{area\; of\; first\; triangle}{area\; of\; second\; triangle}\) = (\(\frac{corresponding\; sides\; of\; 1st\; triangle}{corresponding\; sides\; of\; 2nd\; triangle}\))²

Calculations

\(\frac{area\; of\; first\; triangle}{area\; of\; second\; triangle}\) = (\(\frac{√5}{√7}\))²  

Therefore, ratio of area of triangle 1 and 2 is 5 : 7