Find the area of the parallelogram if its two sides are 6cm and 8cm, and one of the angles is 150 degrees.

1. Vertices of the parallelogram – A, B, C, D. S – area of the parallelogram. ∠В = 150 °. AB = 6 centimeters. AD = 8 centimeters. BК is the height drawn to the AD side.

2. ∠АВК = 150 ° – 90 ° = 60 °.

3. BK: AB = cosine ∠ABK = cosine 60 ° = 1/2.

BK = AB x 1/2 = 6 x 1/2 = 3 centimeters.

4. S = AD x BK = 8 x 3 = 24 centimeters².

Answer: S equals 24 centimeters².



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