In a rectangular trapezoid, the smaller side is 15 cm and the acute angle is 30 degrees. Find a large side.
| June 26, 2021 | education
From the vertex C we construct the height CH of the trapezoid ABCD
Since the trapezoid ABCD is rectangular, and CH is its height, then the quadrilateral ABCN is a rectangle, and then CH = AB = 15 cm.
In a right-angled triangle СDН, the angle СDН = 30, and the leg СН lies against it, then its length is equal to half the length of the hypotenuse СD.
CH = CD / 2.
СD = 2 * СН = 2 * 15 = 30 cm.
Answer: The length of the longer side is 30 cm.
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