# The heights drawn from the vertices of the obtuse angle of the parallelogram are 3 cm and 2 cm.

January 12, 2021 | education

| **The heights drawn from the vertices of the obtuse angle of the parallelogram are 3 cm and 2 cm. Calculate the area of the parallelogram if this angle is 150 degrees.**

Determine the magnitude of the acute angle of the parallelogram if the sum of the adjacent angles of the parallelogram is 180.

Angle ВAD = 180 – ABC = 180 – 150 = 30.

Then, in the right-angled triangle ABН, the ВН leg lies opposite the angle of 300, then ВН = AB / 2.

AB = 2 * ВН = 2 * AB = 2 * 2 = 4 cm.

In a parallelogram, opposite sides are equal, СD = AB = 4 cm.

Determine the area of the parallelogram.

Savsd = СD * ВР = 4 * 3 = 12 cm2.

Answer: The area of the parallelogram is 12 cm2

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