Question

if the ratio of corresponding side of 2 similar triangles is 3:5 then find the ratio of the areas of these triangles

Answer 1

Solution :

*****************************************

We know the Theorem :

The ratio of the areas of two

similar triangles is equal to the

ratio of the squares of their

corresponding sides.

***************************************

Let A1, A2 are areas of two similar

triangles and a and b are their

corresponding sides .

a : b = 3 : 5 [ given ]

Now,

A1/A2 = a²/b²

= ( a/b )²

= ( 3/5 )²

= 9/25

Therefore ,

ratio of areas = A1 : A2 = 9 : 25

••••