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प्रश्न
The corresponding sides of two similar triangles are in the ratio 3 : 4, then the ratios of the areas of triangles is ______.
रिक्त स्थान भरें
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उत्तर
The corresponding sides of two similar triangles are in the ratio 3 : 4, then the ratios of the areas of triangles is 9 : 16.
Explanation:
Given, ratio of corresponding sides of two similar triangles
= `3/4`
Therefore, `("Area of triangle" 1)/("Area of triangle" 2)`
= `("Corresponding side of triangle" 1)^2/("Corresponding side of triangle" 2)^2`
= `(3/4)^2`
= `9/16`
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