# Tick the correct answer and justify :

Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio

(A) 2 : 3 (B) 4: 9 (C) 81: 16 (D) 16: 81

**Solution:**

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides

We know that,

The ratio of the areas of two similar triangles = square of the ratio of their corresponding sides

= (4: 9)^{2}

= 16 : 81

Thus option (D) 16: 81 is the correct answer.

**Video Solution:**

## Sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio (A) 2 : 3 (B) 4: 9 (C) 81: 16 (D) 16: 81

### NCERT Class 10 Maths Solutions - Chapter 6 Exercise 6.4 Question 9:

Sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio (A) 2 : 3 (B) 4: 9 (C) 81: 16 (D) 16: 81

The sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio 16: 81