The sides of the parallelogram are 12 and 15 cm, and the angle between them is 30 degrees.

univerkov | September 7, 2021 | education

The sides of the parallelogram are 12 and 15 cm, and the angle between them is 30 degrees. find the area of the parallelogram and the height drawn to the larger side

Let us determine the area of the parallelogram in terms of the lengths of its sides and the angle between them.

Savsd = AB * AD * SinВAD = 12 * 15 * Sin30 = 180 * 1/2 = 90 cm2.

Also, the area of the parallelogram is equal to: Savsd = AD * ВН.

ВН= Savsd / AD = 90/15 = 6 cm.

Answer: The height drawn to the larger base is 6 cm.

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