Equilateral triangle

Calculate the area of an equilateral triangle with circumference 72cm.

Result

S =  249.415 cm2

Solution:

o=72 cm  a=o/3=72/3=24 cm  S=ah/2 h=3/2 a  S=a2⋅ 3/4=242⋅ 3/4≐144 3≐249.4153≐249.415 cm2o=72 \ \text{cm} \ \\ \ \\ a=o/3=72/3=24 \ \text{cm} \ \\ \ \\ S=ah/2 \ \\ h=\sqrt{ 3 }/2 \ a \ \\ \ \\ S=a^2 \cdot \ \sqrt{ 3 }/4=24^2 \cdot \ \sqrt{ 3 }/4 \doteq 144 \ \sqrt{ 3 } \doteq 249.4153 \doteq 249.415 \ \text{cm}^2

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