Question

Area of similar triangles are in the ratio $25:36$ then ratio of their similar sides is _________?

Answer 1

The areas and sides of similar triangles are related as

$\frac{Ar\left(\Delta ABC\right)}{Ar\left(\Delta PQR\right)}={\left(\frac{AB}{PQ}\right)}^2\frac{25}{36}={\left(\frac{AB}{PQ}\right)}^2\frac{AB}{PQ}=\sqrt{\frac{25}{36}}=\frac{5}{6}$