Height of an equilateral triangle is=√3/2*a

√3/2 a=√6

a=4.

area of an equilateral triangle=√3/4*a^2

√3/4*16=4√3 sq.units

wkt All sides are equal

Height divides base in two equal halves = a/2

And we know by Pythagorean’s theorem

A^2=(A/2)^2+(√6)^2

A^2=a^2/4+6

A^2-a^2/4=6

3a^2/4=6

3a^2=24

A^2=24/3

A=√8

Area = 1/2(b)(h)

=1/2x√8x√6

Area =√48/2

√16x3/2

4√3/2

2√3