Question

The area of two similar triangles are in ratio 16:81. Find the ratio of its sides.

• A. $\frac{1}{9}$
• B. $\frac{2}{9}$
• C. $\frac{3}{9}$
• D. $\frac{4}{9}$

Answer 1

The correct option is D $\frac{4}{9}$

Ratio of areas of two triangles is equal to the square of ratio of sides of the triangles.

$\frac{A_1}{A_2}={\left(\frac{l_1}{l_2}\right)}^2$

$\frac{16}{81}={\left(\frac{l_1}{l_2}\right)}^2$

$\frac{l_1}{l_2}=\frac{4}{9}$