Sides of two similar triangles are in the ratio 4 9. What will be the ratio of area of these triangles?
The ratio of the area of similar triangles :
The sides of two similar triangles are in the ratio
The area ratio of two similar triangles (say ) is equal to the square of their side ratios.
i.e.
Therefore, if the sides of two similar triangles are in the ratio 4: 9, then the areas of these triangles are in the ratio 16: 81.
Hence, the area of triangles in the ratio is 16: 81.