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Calculate the length of a side of the equilateral triangle with an area of 50cm².

Correct answer:

a =  10.7457 cm

Step-by-step explanation:

$$\begin{gathered} S=50{\text{cm}}^2 \\ S=ah\mathrm{/}2 \\ h=\sqrt{3}\mathrm{/}2a \\ S=a^2\sqrt{3}\mathrm{/}4 \\ a=\sqrt{4\cdot S\mathrm{/}\sqrt{3}}=\sqrt{4\cdot 50\mathrm{/}\sqrt{3}}=10.7457\text{ cm} \end{gathered}$$

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