Ratio of areas of similar triangles is 9 : 25.
Solution:
Given data:
Ratio of sides of two similar triangles = 3 : 5
To find the ratio of areas of the triangles:
We know that,
In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.
![$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wderec8x42wq5v4dp7re8yne03eacxmi0t.png)
![$=\left((3)/(5)\right) ^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u8li2dtksgox6t27z8jrdybgyt56t08889.png)
![$=(9)/(25)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pupwcf7l0gqu5hgp9o3e6i8ptp9iamwp7h.png)
Ratio of areas of similar triangles is 9 : 25.