Question

If the ratio of corresponding sides of two similar triangle is 3:4, then the ratio of their perimeters is??????????? ​

Answer 1

Given condition,

Ratio of the corresponding sides of the triangle = 3 : 4

By the Theorems and the Laws of the Similarity of the triangle, It is proved that ratio of the perimeter of the triangle is equal to the ratio of the corresponding sides of the triangle.

Therefore, Ratio of the Perimeter of the Triangle = Ratio of corresponding sides of the triangle = 3/4

Also, Ratio of the areas is equal to the square of the ratio of the corresponding sides of the triangle.

∴ Ratio of the areas = 3²/4² = 9 : 16

Hope it helps.