The perimeter of the rhombus is 48 cm and its height is 6 cm. Find the corners of the rhombus.

| December 16, 2020 | education

1) By the property of a rhombus, all sides of a rhombus are equal, that is, the length of one side is 48: 4 = 12 (cm)
2) The height lowered to the base gives a right-angled triangle. The height is its leg, and the side of the rhombus is the hypotenuse. Knowing the length of the leg and the hypotenuse, we find the sine of an acute angle. The sine is equal to the ratio of the leg to the hypotenuse, which means that the sine of the angle is: 6: 12 = 1/2 sin of the angle = 1/2 => angle = 30 degrees
3) A rhombus is a parallelogram, which means that opposite angles are equal to 30 degrees, and their sum will be equal to 30 + 30 = 60 (degrees)
4) The sum of the angles in a rhombus is 360 degrees The other two angles are equal in: (360-60): 2 = 150 (degrees)
Answer: 30grad, 150grad, 30grad, 150grad



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