Find the largest angle of a rhombus if its side is 6cm and its area is 18cm2. the response should be 150 degrees.
| September 18, 2021 | education
The area of a rhombus can be found as the product of the square of its side by the sine of the angle between them:
S = a2 * sin α.
Hence sin α = S / a2 = 18/62 = 18/36 = 0.5.
α = arcsin 0.5 = 30 ° or α = arcsin 0.5 = 150 °.
Therefore, the larger angle between the sides of a given rhombus is 150 °.
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