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

August 19, 2021 | education

| **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

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