Question

Find the length of the side of an equilateral triangle whose area is 9√3 cm2

Answer 1

Answer:

s = 6 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = $\frac{s^2\sqrt{3} }{4}$ ( s is the length of side )

Here A = 9$\sqrt{3}$ , thus

$\frac{s^2\sqrt{3} }{4}$ = 9$\sqrt{3}$ ( multiply both sides by 4 to clear the fraction )

s²$\sqrt{3}$ = 36$\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

s² = 36 ( take the square root of both sides )

s = $\sqrt{36}$ = 6