A) 10 cm
B) 8 cm
C) 6 cm
D) 9 cm
Correct Answer: C
Solution :
In similar triangles, the ratio of corresponding heights \[\text{=}\sqrt{\text{Ratio}\,\,\text{of}\,\,\text{areas}\,\,\text{of}\,\,\text{triangle}}\] \[\Rightarrow \] \[\frac{{{l}_{1}}}{{{l}_{2}}}=\sqrt{\frac{81}{36}}\]\[\Rightarrow \]\[{{l}_{1}}={{l}_{2}}\times \frac{9}{6}=4\times \frac{3}{2}=6\,\,\text{cm}\]
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