Prove that three times the square of any side of an equilateral-triangle is equal to four times the square of the altitude.

Prove that three times the sum of the squares on the sides of a triangle is equal to four times the sum of the square on the medians of the triangle.

Prove that three xx the sum of the squares of the sides of a triangle is equal to four xx the sum of the squares of the medians of the triangle.

Prove that three xx the sum of the squares of the sides of a triangle is equal to fourxx the sum of the squares of the medians of the triangle.

Prove that the angle opposite to the equal sides of an equilateral triangle are equal.

Three xx the sum of square of the sides of a triangle is equal to four xx the sum of the square of the medians of the triangle.

Read the statemenst carefully and state 'T' for true and 'F' for false . 1. If a line divides any two sides of a triangle in the same ratio , then the line is parallel to the third side of the triangle . 2 . The internal bisector of an angle of a triangle divides the opposite side inernally in the ratio of the sides containing the angle . 3 . If a line through one vertex of a triangle divides the opposite in the ratio of other two sides , then the line bisects the angle at the vertex . 4.Any line parallel to the parallel sides dividesproportionally . 5. Two times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle .

If each side of an equilateral triangle is 12 cm, then its altitude is equal to: