The adjacent angles of the parallelogram are 10 cm and 15 cm, and the angle between them

The adjacent angles of the parallelogram are 10 cm and 15 cm, and the angle between them is 30 degrees. Find the area of the parallelogram.

Let’s draw the height from the upper base of the parallelogram to the lower one, which forms a right-angled triangle with a hypotenuse of 10 cm and a smaller angle of 30 °. If there is an angle of 30 ° in a right-angled triangle, then the leg opposite to this angle is always half the hypotenuse. Therefore, the height of the parallelogram is:

h = 1/2 * 10 = 10/2 = 5 cm.

The area of the parallelogram is equal to the product of the base and the height drawn to this base, we find it:

S = 5 * 15 = 75 cm² – parallelogram area.

Answer: 75 cm²