Question

the ratio of perimeters of two similar triangles is 2:3 then the ratio of their areas is​

Answer 1

The ratio of their areas is​ 4:9

Step-by-step explanation:

Theorem : The ratio of Area of two similar triangle sis equal to the ratio of squares of their corresponding perimeters

We are given that The ratio of perimeters of two similar triangles is 2:3

So, Using theorem :

$(\frac{2}{3})^2=\frac{\text{Area of triangle 1}}{\text{Area of triangle 2}}$

$\frac{4}{9}=\frac{\text{Area of triangle 1}}{\text{Area of triangle 2}}$

Hence the ratio of their areas is​ 4:9

#Learn more:

The ratio of the perimeter of two similar triangles is a 4 ratio 25 then find the ratio of the areas of the similar triangles

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