Question

The length of each side of an equilateral triangle having an area of 25√3sq.cm is

Answer 1

Area of an equilateral triangle = 25√3sq.cm

$Area = \frac{ \sqrt{3} }{4} {a}^{2}$

$25 \sqrt{3} = \frac{ \sqrt{3} }{4} {a}^{2}$

${a}^{2} = \frac{25 \sqrt{3} \times 4 }{ \sqrt{3} }$

${a}^{2} = 100$

$a = \sqrt{100}$

$a = 10cm$

The length of each side of the equilateral triangle is 10cm.