If the diagonal is 12 cm, the angle between the diagonals of the rectangle is 60 degrees.

If the diagonal is 12 cm, the angle between the diagonals of the rectangle is 60 degrees. is the smallest side of the rectangle?

Let’s designate our rectangle ABCD. The diagonals of the rectangle divide each other in half at point O. If the length of the diagonal is 12 cm, then

AO = OC = DO = OD = AC / 2 = 12/2 = 6 (cm).

Since the angle between AO and OD is 60 °, the formed triangle AOD is equilateral and the side AD is equal to AO = OD = 6 (cm).

This is the smallest side of the rectangle.

Answer: The length of the smallest side of the rectangle is 6 cm.