Question

sides of two similar triangles are in the ratio of 4:5. find the ratio of their areas.​

Answer 1

Answer:

16:25 is the answer.

Step-by-step explanation:

By the theorem from similar triangles, we get

The ratio of the areas of two similar triangles is the square of their corresponding sides .

Thus, ratio of the areas of the triangles = (4/5)² = 16/25

or, 16:25.

Hope it helps you!!!!

Answer 2

Answer:

This is quite simple. As we all know that area of two similar triangles is the square of ratio their sides.

Step by step explanation:-

Let AB and DE be corresponding sides of two similar triangles ∆ABC and ∆DEF.

So, according to the theorem,

=>ar(∆ABC)/∆(DEF)= (AB/DE)(AB/DE)

=(4/5)(4/5)

=16/25