A) \[2:3\]
B) \[4:9\]
C) \[81:16\]
D) \[16:81\]
Correct Answer: D
Solution :
| [d] We have two similar triangles such that the ratio of their corresponding sides is \[4:9\]. |
| The ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides. |
| \[\frac{ar({{\Delta }_{1}})}{ar({{\Delta }_{2}})}={{\left( \frac{4}{9} \right)}^{2}}=\frac{16}{81}\] |
| \[ar({{\Delta }_{1}}):ar({{\Delta }_{2}})=16:81\] |
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