The sides of the parallelogram are 6cm and the angle between them is 55 degrees. Find the heights of the parallelogram and its area.

univerkov | March 2, 2021 | education

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 = 6 * 7 * Sin55 = 42 * 0.82 = 34.44 cm2.

Also, the area of the parallelogram is:

Savsd = AD * ВН.

BH = Savsd / AD = 34.44 / 7 = 4.92 cm.

Savsd = CD * ВK.

VK = Savsd / CD = 34.44 / 6 = 5.74 cm.

Answer: The lengths of the parallelogram heights are 4.92 cm and 5.74 cm.

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