Question

The perimeters of two similar triangles ∆ABC and ∆PQR are 35cm and 45cm respectively, then the ratio of the areas of the two triangles is ____________.                            

Answer 1

Answer:

Step-by-step explanation:

The perimeters of two similar triangles ∆ABC and ∆PQR are 35cm and 45cm respectively .

Theorem : The ratio of the areas of the two similar triangle is equal to the square of the perimeter of the corresponding similar triangles .

area of triangle ABC/area of triangle PQR = (perimeter of triangle ABC)^2/perimeter of triangle PQR)^2

area of triangle ABC/area of triangle PQR = (7)^2/(9)^2

area of triangle ABC/area of triangle PQR = 49/81