Question

3.) The area of an equilateral triangle with side 2V3 m is
a 5.196 m2
b) 0.866 m²
c) 3.496 m²
d) 1.732 m2​

Answer 1

Answer:

a) Given, side of an equilateral triangle is 2√3 cm.

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

= √3/4 (2√3)2 = (√3/4) x 4 x 3

= 3√3 = 3 x 1.732 = 5.196 cm2

Hence, the area of an equilateral triangle is 5.196cm2

Answer 2

Given:

Figure = Equilateral Triangle

Side of the Equilateral Triangle = 2√3

To Find:

The area of the equilateral triangle

Solution:

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

Thus,

Substituting the value -

√3/4 ( 2√3 )²

= √3/4 x 4 x 3

= 3√3

On simplifying -

= 3 x 1.732 ( Value of √3)

= 5.196

Answer: The area of the equilateral triangle is 5.196 m²