The corners of the rhombus are 2: 1 and the side is 6 cm. Find the area.
| February 21, 2021 | education
Let one angle be x, then the second is 2x. Since the rhombus is a parallelogram, the sum of the adjacent angles is 180 °.
x + 2x = 180; 3x = 180; x = 60 °.
The area of the parallelogram is S = a * b * sina (a and b are the sides of the parallelogram, a is the angle between them).
Hence S = 6 * 6 * sin60 ° = 36 * √3 / 2 = 18√3 (cm²).
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