The angle between the diagonals of the rectangle = 60 degrees, its smaller side = 6 cm

The angle between the diagonals of the rectangle = 60 degrees, its smaller side = 6 cm. Find the diagonal of the rectangle.

In a rectangle, the diagonals are equal and at the point of their intersection they are divided in half, and the opposite sides are also equal.

Then AO = BO = CO = DO.

In an isosceles triangle AOB, the angle AOB = 60. If in an isosceles triangle at least one of the angles is 60, then such a triangle is equilateral. AB = OA = OB = 6 cm.

Then the diagonal AC = OA * 2 = 6 * 2 = 12 cm.

Answer: The diagonal of the rectangle is 12 cm.