One of the angles of a parallelogram is 150 degrees, its side is 6 and 10 cm, find the area?

A parallelogram is a quadrilateral in which opposite sides are parallel and equal to each other.

Since, according to the problem statement, we know both sides of the parallelogram and the angle between them, to calculate its area we will use the following formula:

S = a b sin α, where:

S is the area of the parallelogram;

a – side AB;

b – side of the aircraft;

α is the angle between the sides;

sin 150º = 1/2 = 0.5;

S = 6 10 0.5 = 30 cm2.

Answer: the area of the parallelogram is 30 cm2.



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