Question

the perimeter of two similar triangles triangle ABC and triangle pqr are 35 and 45 centimetre respectively then the ratio of areas of two triangles is _________​

Answer 1

Answer:

49:81

Step-by-step explanation:

The perimeter of two similar triangles triangle ABC and triangle pqr are 35 and 45 centimeter

Theorem : The ratio of the areas of two similar triangle will be equal to the ratio of squares of perimeter of the corresponding triangles.

So,,$\frac{\text {Area of triangle ABC}}{\text{Area of triangle PQR}}=\frac{35^2}{45^2}$

,$\frac{\text {Area of triangle ABC}}{\text{Area of triangle PQR}}=\frac{49}{81}$

Hence the ratio of areas of two triangles is 49:81

Answer 2

Step-by-step explanation:

In two similar triangles, the ratio of their areas is the square of the ratio of their sides. Try this The two triangles below are similar. Drag any orange dot at P,Q,R. Note the ratio of the two corresponding sides and the ratio of the areas.