The height of the rhombus is 5 cm. Find its side if the angle between the side of the rhombus

The diagonals of the rhombus are the bisectors of its angles, therefore, one of the corners of the rhombus is 75 * 2 = 150 degrees.

The area of a rhombus can be defined as the product of its height by the side or as the product of the square of the side and the sine of the angle between them: S = a * h = a2 * sin α. Hence,

h = a * sin α;

a = h / sin α = 5 / 0.5 = 10 cm.