A rectangle is inscribed in an equilateral triangle of side length `2a` units. The maximum area of this rectangle can be (a) `sqrt(3)a^2` (b) `(sqrt(3)a^2)/4` `a^2` (d) `(sqrt(3)a^2)/2`

The area of an equilateral triangle with side 2sqrt3 cm is

In an equilateral triangle with side a, prove that the altitude is of length (a sqrt3)/2

If area of a circle inscribed in an equilateral triangle is 48pi square units, then perimeter of the triangle is (a) 17sqrt(3) units (b) 36 units (c) 72 units (d) 48sqrt(3) units

The side of an equilateral triangle is 6sqrt(3) cm. Find the area of the triangle. [Take sqrt(3)=1.732 ]

If the area of an equilateral triangle is 16sqrt3 cm^(2) , then the perimeter of the triangle is

Each side of an equilateral triangle is equal to the radius of a circle whose area is 154\ c m^2dot The area of the triangle is (a) (7sqrt(3))/4\ c m^2 (b) (49sqrt(3))/2\ c m^2 (c) (49sqrt(3))/4\ c m^2 (d) (7sqrt(3))/2\ c m^2

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

The area of an equilateral triangle is 4sqrt(3)\ c m^2dot\ The length of each of its side is (a)3 cm (b) 4 cm (c) 2sqrt(3)\ c m (d) (sqrt(3))/2\ c m

Prove that the area of an equilateral triangle is equal to (sqrt(3))/4a^2, where a is the side of the triangle.

The equation of the base of an equilateral triangle A B C is x+y=2 and the vertex is (2,-1) . The area of the triangle A B C is: (sqrt(2))/6 (b) (sqrt(3))/6 (c) (sqrt(3))/8 (d) None of these