Let $ riangle ABC \sim riangle DEF$ and their areas be respectively 81 cm$^2$ and 144 cm$^2$. If $EF = 24$ cm, then length of side $BC$ is ________ cm.

Question

Let $	riangle ABC \sim 	riangle DEF$ and their areas be respectively 81 cm$^2$ and 144 cm$^2$. If $EF = 24$ cm, then length of side $BC$ is ________ cm.

Accepted Answer

Step 1: $\frac{	ext{ar}(	riangle ABC)}{	ext{ar}(	riangle DEF)} = \frac{BC^2}{EF^2} \Rightarrow \frac{81}{144} = \frac{BC^2}{576} \Rightarrow BC = 18$ cm

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