Question

If $△ABC\sim △DEF$ such that AB=1.2 cm and DE=1.4 cm. Find the ratio of areas of $△ABC$ and $△DEF$

Answer 1

We know that the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

$\therefore$ $\frac{Area\left(△ABC\right)}{Area\left(△DEF\right)}=\frac{{AB}^2}{{DE}^2}$

$\Rightarrow$ $\frac{Area\left(△ABC\right)}{Area\left(△DEF\right)}$

$\Rightarrow$ $\frac{{\left(1.2\right)}^2}{{\left(1.2\right)}^2}={\left(\frac{12}{14}\right)}^2$

$\Rightarrow$ $\frac{36}{49}$