Prove that the Pedal triangle of an equilateral triangle is also an equilateral triangle.

Prove that the area of an equilateral triangle with sides equal to the sides of a square is half the area of the equilateral triangle with sides equal to țhe length of the diagonals of the square.

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angle triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides.

What is the height of an equilateral triangle having each side 12 cm?

Length of an altitude of an equilateral triangle of side '2a' cm is

If the measures of the medians of a triangle are equal then prove that the triangle is equilateral.

The area of incircle of an equilateral triangle is 154cm^2 then the perimeter of the triangle is

Prove that area of the equilateral triangle described on the side of a square is half. The area of the equilateral triangle described on its diagonal.

Prove that the ratio of the areas of two similar triangle is equal to the square of the ratio of their corresponding medians.