Equilateral triangle

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

Result

S =  229.064 cm2

Solution:

a=23 cm h=a2−(a/2)2=232−(23/2)2≐19.9186 cm  S=a⋅ h2=23⋅ 19.91862≐229.0637≐229.064 cm2a=23 \ \text{cm} \ \\ h=\sqrt{ a^2-(a/2)^2 }=\sqrt{ 23^2-(23/2)^2 } \doteq 19.9186 \ \text{cm} \ \\ \ \\ S=\dfrac{ a \cdot \ h }{ 2 }=\dfrac{ 23 \cdot \ 19.9186 }{ 2 } \doteq 229.0637 \doteq 229.064 \ \text{cm}^2

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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