# The height of an equilateral triangle is √6 cm. The area will be-

(a) 2√3 sq. cm

(b) 3√3 sq. cm

(c) 2√2 sq.m

(d) 6√2 sq. m

**Answer: (a) 2√3 sq.m**

**Solution:-**

The height of an equilateral triangle = √6

**Formula-**

**Area of equilateral triangle = h^2/√3**

Then, area of equilateral triangle = (√6)^2/√3

= 6/√3

= 2 x √3 x √3/√3

= 2 √3

So, the area of the equilateral triangle will be 2√3.

Hence, the correct answer is option (a) 2√3.