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

The area of an equilateral triangle is ¼(√3a2) where "a" represents a side of the triangle. You are provided with the side "a". Find the area of the equilateral triangle.

If the perimeter of an equilateral triangle is 180 cm. Then its area will be:a. 900 cm2b. 900√3 cm2c. 300√3 cm2d. 600√3 cm2

In an equilateral triangle with side ‘a’, find the percentage of altitude with respect to its area.

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

Let ΔABC be an equilateral triangle. D, E, F are points on the sides such that BD : DC = CE : EA = AF : FB = 2 : 1. If the area of ΔABC is 315 sq. cm, then what is the area (in sq. cm) of the triangle bounded by AD, BE, and CF?