Question

The ratio of corresponding sides of two similar triangles is 3:5,
then Find the ratio of their areas.​

Answer 1

Answer:

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

PLZ MARK AS BRIANLIEST AND THX FOR THE SUPERB QUESTION

Answer 2

Given:- the ratio of corresponding sides of two similar triangles is 3:5.

Solution :-

Let the ratio of corresponding sides of two similar triangles be Side 1 : Side 2 = 3 : 5.

And let the ratio of areas of two similar triangles is Area 1 : Area 2.

Now, as we know that if two triangles are similar, then the ratio of areas is equal to the ratio of squares of corresponding sides.

So,

$\sf \longmapsto \dfrac{area \: 1}{area \: 2} = \bigg( \dfrac{side \: 1}{side \: 2} \bigg)^{2} \\ \\ \\ \sf \longmapsto \dfrac{area \: 1}{area \: 2} = \bigg( \dfrac{3}{5} \bigg)^{2} \\ \\ \\ \sf \longmapsto \dfrac{area \: 1}{area \: 2} = \dfrac{9}{25}$

Therefore, the ratio of their sides is 9:25.

Related information:-

Properties of similar triangles:

• Shape is same(but size isn't necessarily equal).
• Corresponding angles of similar triangles are equal.
• And correspondence sides in similar triangles are in the same ratio.