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?
Answer & explanation
Correct answer: option 4
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