Question

the area of an equilateral triangle is 16 root 3 cm square, what will be the measure of its side ​

Answer 1

Answer:

Measure of each side of an equilateral triangle is 8 cm.

Step-by-step explanation:

Given:

Area of an equilateral triangle = 16$\sqrt{3}$ sq.cm.

Let length of  side of equilateral triangle = a cm.

As we know that ,

Area of equilateral triangle = $(\sqrt{3} /4)a^{2}$

  $a^{2}$ = (Area × 4) / $\sqrt{3}$

       = ($16\sqrt{3}$ × 4) /$\sqrt{3}$

       = 16 × 4 =64

  a = $\sqrt{64}$ = 8 cm.