If the sum of the squares of the sides of triangle is 16 then the sum of the squares of the medians is 3k .Then K is

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 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.

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 .

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.

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.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

If the square of one side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle with the angle opposite the first sides as right angle.

Prove that the sum of the squares of the diagonals of a rhombus is equal to the sum of the squares of the sides.

prove by vector method that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

If two xx the square of the diameter of the circumcircle of a triangle is equal to the sum of the squares of its sides then prove that the triangle is right angled.