# Calculate

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

Result

a =  10.746 cm

#### Solution:

$S=50 \ \text{cm}^2 \ \\ \ \\ S=ah/2 \ \\ h=\sqrt{ 3 }/2 \ a \ \\ \ \\ S=a^2 \ \sqrt{ 3 }/4 \ \\ a=\sqrt{ 4 \cdot \ S / \sqrt{ 3 } }=\sqrt{ 4 \cdot \ 50 / \sqrt{ 3 } } \doteq 10.7457 \doteq 10.746 \ \text{cm}$

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