Question

Sides of two similar triangles are in the ratio $4:9$. Areas of these triangles are in the ratio :

• A. $2:3$
• B. $4:9$
• C. $81:16$
• D. $16:81$

Answer 1

The correct option is D $16:81$

Ratio of sides of triangles $=\frac{4}{9}$

In two similar triangles, the ratio of their areas is the square of the ratio of their sides

$\therefore$ Ratio of area $={\left(\frac{4}{9}\right)}^2=\frac{16}{81}$