Equilateral triangle

The equilateral triangle has a 23 cm long side. Calculate its content area.

Correct result:

S =  229.0637 cm²

Solution:

$$\begin{gathered} a=23\text{ cm } \\ h=\sqrt{a^2-(a\mathrm{/}2{)}^2}=\sqrt{23^2-(23\mathrm{/}2{)}^2}\doteq 19.9186\text{ cm } \\ S={\displaystyle \frac{a\cdot h}{2}}={\displaystyle \frac{23\cdot 19.9186}{2}}=229.0637{\text{cm}}^2 \end{gathered}$$

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