Question

What is the length of each side of an equilateral triangle having an area of 4v3cm.​

Answer 1

Given :-

Area of equilateral triangle is $4\sqrt{3}$ cm

To find :-

Side of an equilateral triangle

Solution :-

Area of equilateral triangle = $\dfrac{\sqrt{3}}{4} a^2$

$4\sqrt{3} = \dfrac{\sqrt{3}}{4} a^2$

${4} = \dfrac{1}{4} a^2$

${4\times4 =a^2}$

${4^2 = a^2}$

${a= \pm 4}$

Length cannot be negative So,

a = 4cm

Know more :-

Equilateral triangle :- Equilateral triangle is a one type of triangle

• In an equilateral triangle all three sides are equal .
• Also all three angles are equal
• In a equilateral triangle each angle is 60° .
• Perimeter of an equilateral triangle is 3×side.