Question

If the ratio of areas of two similar triangle is $16:81$ find the ratio of their corresponding sides.

Answer 1

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

$\therefore \frac{A_1}{A_2}=\frac{16}{81}\therefore {\left(\frac{s_1}{s_2}\right)}^2=\frac{16}{81}\therefore \frac{s_1}{s_2}=\frac{4}{9}$