Question

In triangle a, b,c the area of the triangle is 20 underroot 3 . To find all the sides . Note that the triangle is an equilateral triangle

Answer 1

Area of equilateral triangle =
$\frac{ \sqrt{3} }{4} \times side {}^{2} = 20 \sqrt{3} \\ side \: {}^{2} = 80 \\ side = \sqrt{80} \\ side = 4 \sqrt{5}$