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

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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