Question

10.What is the length of each side of an equilateral triangle having an area of 4√3

sq. cm? by heron's formula​

Answer 1

Step-by-step explanation:

Given, area of an equilateral triangle = 4√3 cm2

∴ Area of an equilateral triangle = √3/4(Side)2

⇒ √3/4 (Side)2 = 4√3

⇒ (Side)2 = 16

∴ Side = 4 cm [taking positive square root because side is always positive]

Hence, the length of an equilateral triangle is 4 cm.