The diagonal of a rhombus, 8 cm long, forms an angle of 60 degrees with its side. Find the side of the diamond.

Since we know, based on the existing definitions, that the diagonals of a rhombus are perpendicular to each other and are divided by the point of intersection in half, we calculate what one of the legs of a right triangle will equal, where the side of the rhombus is the hypotenuse:

8: 2 = 4.

We calculate what the side of this figure is equal to, if we know, based on the current trigonometric tables, that cos 60 ° is 1/2:

4: 1/2 = 8.

Answer: Under these conditions, the side of the rhombus will be 8 centimeters.