The perimeter of the rhombus is 16 and one of the corners is 30. Find the area of the rhombus.
| April 9, 2021 | education
Because in a rhombus all sides are equal, then we find the length of its side by dividing the value of the perimeter by four: a = 16/4 = 4.
It is known that the area of a rhombus can be calculated as the product of the square of its side by the sine of the angle between them:
S = a ^ 2 * sin α = 4 ^ 2 * sin 30 ° = 16 * 0.5 = 8.
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