Question

If the areas of two similar triangles are in ratio $25:64,$ write the ratio of their corresponding sides.

Answer 1

Let the triangle be $△$ABC and $△$DEF.

We know that $\frac{ar\left(ABC\right)}{ar\left(DEF\right)}$ = $[\frac{AB}{DE}{]}^2$

Or $\frac{25}{64}$ = $[\frac{AB}{DE}{]}^2$

Or $\frac{AB}{DE}$ = $\frac{5}{8}$