The adjacent sides of the parallelogram are 12 cm and 5 √2 cm, and one of its angles is 135 degrees.
| January 28, 2021 | education
The adjacent sides of the parallelogram are 12 cm and 5 √2 cm, and one of its angles is 135 degrees. Find the area of the parallelogram.
The area of a parallelogram is equal to the product of the lengths of its adjacent sides by the sine of the angle between them.
Then Savsd = AB * BC * SinABC = AB * BC * Sin135 = 5 * √2 * 12 * √2 / 2 = 60 cm2.
Answer: The area of the parallelogram is 60 cm2.
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