Question

side of two similar triangle are in the ratio 3:5 area of these triangle is the ratio.......

Answer 1

We know the ratio of area of two similar triangles is equal to the ratio of square of their sides.

So the ratio of their area is (3/5)^2
= 9/25
= 9:25

Hope it helps you.

Answer 2

The ratio of the areas of the similar triangles will be 9:25

Step-by-step explanation:

Given:

the ratio of sides of two triangles is 3:5

To find:

the ratio of the area of these triangles

Solution:

To solve this concept

We should know that The area of two similar triangles is in ratio and equal to the square of the ratio of their corresponding sides

This is known by the theorem of the similar triangle

Let's say that the areas of the triangles are A1 & A2 and the sides of these triangles are s1 & s2

Now, according to the theorem,

A1 = (s1)²

A2   (s2)²

Substituting all the values from the given

A1 = (3)²

A2   (5)²

A1 = 9

A2   25

∴ A1 : A2 = 9:25

Thus, the area of the two similar triangles will be in the ratio of 9:25

#SPJ3