Find the area of a parallelogram, the sides of which are 9 cm and 12 cm, and the angle between them is 60 degrees.
March 29, 2021 | education
| To calculate the area of a parallelogram, apply the formula:
S = a * b * sin a.
The area of a parallelogram is equal to the product of its sides by the sine of the angle between them.
From the condition, we know the lengths of the sides – 9 cm and 12 cm, and the angle between them is also known to be 60 °.
We just have to substitute the values in the formula and make calculations.
S = 9 * 12 * sin 60 °.
Let’s find first of all the sine of an angle of 60 °.
sin 60 ° = √3 / 2.
We calculate:
S = 9 * 12 * √3 / 2 = 54√3 cm ^ 2.
We write down the answer.
Answer: S = 54√3 cm ^ 2.
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