In the parallelogram abcd, it is known that c = 30 degrees, the height bh drawn to the side cd is 7cm, and the perimeter
| December 5, 2020 | education
In the parallelogram abcd, it is known that c = 30 degrees, the height bh drawn to the side cd is 7cm, and the perimeter of the parallelogram is 46cm. Find the sides of the parallelogram.
Consider the BCH triangle. It is rectangular because angle C = 30, then ВN is equal to half of the hypotenuse of BC, then BC = 7 * 2 = 14 cm
Because this is a parallelogram, then P = 2 (a + b)
46 = 2 (14 + x)
23 = 14 + x
x = 9
Answer: 14 and 9 cm
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