Assertion (A): The side of an equilateral triangle is 6 cm then the area of the triangle is 9 cm2.Reason (R): All the sides of an equilateral triangle are equal

If triangle ABC is an equilateral triangle of side 'a', its area will be ________.

3. If ABC and EBC are two equilateral triangles such that Dis mid-point of BC, then the ratio of the areas of trianglesABC and BDE is:

Assertion: The altitude p of an equilateral triangle having each side a is given by 𝑝 = √32 𝑎.Reason: If p is the altitude of an equilateral triangle, then its area A is given by ∆= 𝑝2√3

An equilateral triangle with side 6 cm is inscribed in a circle, which in turn is inscribed in a regular hexagon. What is the area of the regular hexagon (in sq. cm)?

If the perimeter of an equilateral triangle is 60 cm, then what is its area?      a. 200√2cm2      b. 100√2cm2      c. 100√3cm2      d. 200√3cm2