Prove that the medians of an equilateral triangle are equal.

Using the concept of slope, prove that medians of an equilateral triangle are perpendicular to the corresponding sides.

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

Prove that the area of an equilateral triangle is equal to (sqrt(3))/4a^2, where a is the side of the triangle. GIVEN : An equilateral triangle A B C such that A B=B C=C A=a . TO PROVE : a r(triangle A B C)=(sqrt(3))/4a^2 . CONSTRUCTION : Draw A D_|_B C .

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 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 each angle of an equilateral triangle is 60^0

Prove that measure of each of an equilateral triangle is 60^0

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

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

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