The diagonal of the parallelogram is 6 cm and 4 cm, and one of the angles between them is 150 degrees.
| March 15, 2021 | education
The diagonal of the parallelogram is 6 cm and 4 cm, and one of the angles between them is 150 degrees. Find the area of the parallelogram.
1. Vertices of the parallelogram – А, В, С, D. О – the point of intersection of the diagonals. The diagonals AC and BD are 6 centimeters and 4 centimeters respectively. ∠АD = 150 °.
2. The area of a parallelogram (S), according to its properties, is calculated by the following formula:
S = AC x AD x sine AOD.
S = 6 x 4 sine 150 ° = 24 x 1/2 = 12 centimeters².
Answer: The area of the parallelogram is 12 centimeters².
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