Question

Without using the direct formula, find the area of an equilateral triangle with each side 2a.

Answer 1

Step-by-step explanation:

The sides of triangle are a,a,a units

s=

2

a+a+a

=

2

3a

Using Heron's formula

Area of equilateral triangle is

s(s−a)(s−b)(s−c)

=

2

3a

×

2

a

×

2

a

×

2

a

=

2

3

a

2