Question

The ratio of corresponding sides of similar triangles is 3:5 then find the ratio of their ares​

Answer 1

GIVEN :-

• Ratio of corresponding Sides of similar triangle is 3:5

TO FIND :-

• The ratio of their Areas .

SOLUTION :-

=> As we know that ratio of two similar triangles = Ratio of square of their corresponding sides.

=> A1/ A2 = (3/5)²

=> A1/A2 = 3²/5²

=> A1/A2 = 9/25

=> A1 : A2 = 9 : 25

Hence the ratio of area of triangle is 9 : 25.

ADDITIONAL INFORMATION :-

▪︎Area of triangle = 1/2 × base height

▪︎Area of equilateral triangle = (√3a²/4)

Answer 2

Step-by-step explanation:

=A1/A2=(3/5)²

=3²/5²

=9/25

A1/A2=9:25

Hence the ratio of triangle is 9:25