Sides of two similar triangles are in the ratio 4 : 9. Area of these triangles are in the ratio (a) 2 : 3 (b) 4 : 9 (c) 81 : 16 (d) 16 : 81

Solution :

Since the ration of the areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides, therefore

ratio of areas = \((4)^2\) : \((9)^2\) = 16 : 81

\(\therefore\)  (d) is the correct answer,