Question

The areas of two similar triangles are $250sq.cm$ and $360sq.cm$, then determine the ratio of their corresponding sides.

Answer 1

$\frac{Areaof1sttriangle}{Areaof2ndtriangle}={\left(\frac{Sideof1sttriangle}{Sideof2ndtriangle}\right)}^2$

$\therefore \frac{250}{360}={\left(\frac{Sideof1sttriangle}{Sideof2ndtriangle}\right)}^2$

$\Rightarrow \sqrt{\frac{250}{360}}=\frac{Sideof1sttriangle}{Sideof2ndtriangle}$

$\Rightarrow \sqrt{\frac{25}{36}}=\frac{Sideof1sttriangle}{Sideof2ndtriangle}$

$\Rightarrow \frac{Sideof1sttriangle}{Sideof2ndtriangle}=\frac{5}{6}$