Find the area of a rhombus if its height is 19 and an acute angle is 30 degrees.
| April 29, 2021 | education
The sine of an acute angle of a rhombus is equal to the ratio of the height of the rhombus to its side: sin 30 ° = h / a, from here we can find the side of the rhombus: a = h / sin 30 ° = h / 0.5 = 2 * h.
We find the area of a rhombus as the product of its height by the side: S = a * h = 2 * h * h = 2 * 19 * 19 = 722.
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