The sides of the parallelogram are 30 °, and the heights drawn from the top
| April 26, 2021 | education
The sides of the parallelogram are 30 °, and the heights drawn from the top of the obtuse angle are 4 cm and 3 cm. Find the area of this parallelogram.
The height BH of the parallelogram forms a right-angled triangle ABH, the acute angle BH of which, according to the condition, is 30. Then the leg BH lies opposite the angle 30, which means that its length is equal to half the length of the hypotenuse AB, then AB = 2 * BH = 2 * 3 = 6 cm.
In a parallelogram, the lengths of the opposite sides are equal, then CD = AB = 6 cm.
Determine the length of the parallelogram.
Savsd = CD * BK = 6 * 4 = 24 cm2.
Answer: The area of the parallelogram is 24 cm2.
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