Question

the ratio of corresponding sides of similar triangle is3:5find the ratio of their areas​

Answer 1

Answer:

9:25

Step-by-step explanation:

Let side be AB of ∆ABC

And side be PQ of ∆PQR

AB²/PQ² = (Ar. of ∆ABC) / (Ar. of ∆PQR)

9/25

Answer 2

Answer:

According to the question, we are given the ratio of corresponding sides of similar triangles is 3 : 5. We are trying to find the value of the ratio of the areas of those triangles.

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

So, the ratio of the areas of the triangle would be,

=(ratioofthesides)2

Now, putting the values, we get, =(3:5)2

Simplifying the result, we are getting, =(3)2:(5)2

We can get our solution as, =9:25