Question:
Heights of two similar triangles are 3 cm and 4 cm respectively. Ratio of the areas of the triangles will be:
Heights of two similar triangles are 3 cm and 4 cm respectively. Ratio of the areas of the triangles will be:
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The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides.
Updated On: Oct 10, 2025
- 9 : 16
- 27 : 16
- 16 : 81
- 4 : 9
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The Correct Option is A
Solution and Explanation
For similar triangles, the ratio of their areas is the square of the ratio of their corresponding sides (including heights).
Given the heights of two similar triangles are 3 cm and 4 cm, the ratio of the areas of the triangles will be:
\[
\text{Ratio of areas} = \left(\frac{3}{4}\right)^2 = \frac{9}{16}
\]
Step 2: Conclusion.
Thus, the ratio of the areas is $9 : 16$. So, the correct answer is (A).
Step 2: Conclusion.
Thus, the ratio of the areas is $9 : 16$. So, the correct answer is (A).
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