# Equilateral triangle v2

Equilateral triangle has a perimeter 36 dm. What is its area?

Result

S =  62.354 dm2

#### Solution:

$o=36 \ \text{dm} \ \\ a=o/3=36/3=12 \ \text{dm} \ \\ \ \\ S=\dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ a^2=\dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ 12^2 \doteq 36 \ \sqrt{ 3 } \doteq 62.3538 \doteq 62.354 \ \text{dm}^2$

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