Find the corners of a rhombus whose perimeter is 24 cm and the area is 18 cm2.

If the perimeter of the rhombus is 24 cm, then the side of the rhombus is 24/4 = 6 cm.

The area of a rhombus can be defined as the product of the square of the side and the sine of the angle between them:

S = a ^ 2 * sin α.

Hence, sin α = S / a ^ 2 = 18/6 ^ 2 = 18/36 = 0.5.

Therefore, one of the angles between the sides of the rhombus is:

α = arcsin 0.5 = 30 °.

Since the sum of the adjacent angles of the rhombus is 180 °, the second angle of the rhombus is 180 ° – 30 ° = 150 °.