Question

The sides of two similar triangles are in the ratio 9 ∶ 4. Areas of these triangles are in the ratio

• A. 16 ∶ 81
• B. 81 ∶ 16
• C. 9 ∶ 4
• D. 4 ∶ 9

Answer 1

Answer:

B. 81 ∶ 16

Solution: Given: The sides of two similar triangles are in the ratio 9 : 4. Concept used: When two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. Calculation: Let the ratio of the areas of these triangles be A1 : A2. ⇒ A1 : A2 = 92 : 42 ⇒ A1 : A2 = 81 : 16 ∴ The ratio of the areas of these similar triangles is 81 : 16.