Question

The areas of two similar triangles are 72 sq.cm and 24 sq.cm .find the ratio of their corresponding sides.

Answer 1

the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
let the corresponding sides be x and y.
then,ratio of their corresponding sides is equal to root 3 is to 1

Answer 2

Answer:

The ratio of their corresponding sides is √3:1

Step-by-step explanation:

Let the side of the first triangle be x

Let the side of the second triangle be x

Theorem : The ratio of the squares of the corresponding sides of the triangle is equal to the ratio of the area of the similar triangles

So, $\frac{72}{24}=\frac{x^2}{y^2}$

$\frac{72}{24}=(\frac{x}{y})^2$

$3=(\frac{x}{y})^2$

$\sqrt{3}=\frac{x}{y}$

So, The ratio of their corresponding sides is √3:1