The bases of the trapezoid are 18 and 12, one of the sides is 6, and the sine of the angle between it and

| July 18, 2021 | education

The bases of the trapezoid are 18 and 12, one of the sides is 6, and the sine of the angle between it and one of the bases is 1/3. find the area of the trapezoid.

1) A trapezoid is a quadrilateral in which two sides are parallel and the other two sides are not parallel. The parallel sides are called the bases of the trapezoid, and the other two are called lateral sides.

2) In the problem, you need to find the area of the trapezoid. Formula of area in terms of bases and height: S = 1/2 (a + b) * h. The bases of the trapezoid are known to us and are equal to 12 and 18. It remains to find the height.

3) Formula of height through the side and the adjacent angle at the base: h = c * sinα. Side c = 6, sinα = 1/3., So h = 6 * 1/3 = 2.

3) S = 1/2 (12 + 18) * 2 = 30



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