A) \[12cm\]
B) \[15cm\]
C) \[10cm\]
D) \[18cm\]
Correct Answer: A
Solution :
[a] Let the median of the larger triangle be \[x\,cm.\]We know, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians. |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\frac{25}{36}={{\left( \frac{10}{x} \right)}^{2}}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,{{x}^{2}}=\frac{100\times 36}{25}=144\Rightarrow x=12\,cm\] |
You need to login to perform this action.
You will be redirected in
3 sec