If the length of the side of an equilateral triangle is 6 cm, what is its area?
1). 18√3 sq cm
2). 36√3 sq cm
3). 27√3 sq cm
4). 9√3 sq cm
Solution:
Equilateral triangle is a triangle for which all the three sides are equal.
Given: Length of the side of the equilateral triangle = 6 cm
Area = ?
Area of equilateral triangle = (√3/4) a² square.units
So, Area = (√3/4) × 6² cm²
Area = (√3/4) × 36 cm²
Area = √3 × 9 cm²
Area = 9√3 cm²
So, the correct option is 4). 9√3 sq.cm
5. The height of an equilateral triangle is 15 cm. The area of the triangle is