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

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

Prove that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Equilateral triangle has one line of symmetry.

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

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

Two complementary angles are such that twice the measure of the one is equal to three times the measrue of the other. The larger of two measures

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

A sqaure and an equilateral triangle have equal perimeters. If the diagonal of the square is 12sqrt(2)cm , then area of the triangle is

Prove that the diagonals of a square are equal.