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

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

Prove that the area of a rhombus is equal to half of the product of the diagonals.

If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

The sum of the roots of the equation x^(2) + px + q = 0 is equal to the sum of their squares, then :

If the sum of squares of two sides is equal to square of third side then DeltaABC is

Prove that "In a right triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides".

Prove that "In a right angled triangle the square of hypotenuse is equal to the sum of the square of the other two sides".

"If the square on the longest sides of a triangle is equal to the sum of the squares on the other two sides then those two sides contain a right angle." Prove.

In an equilateral triangle , prove that three times the square pf one side is equal to four times the square of one of its altitudes.

If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equal to the sum of the squares of their reciprocals, then (a)/(c ) , ( b )/( a ) and ( c )/( b ) are in :