The side of the trapezoid is 3, and one of the adjacent angles is 30 °. Find the area of a trapezoid
| March 2, 2021 | education
The side of the trapezoid is 3, and one of the adjacent angles is 30 °. Find the area of a trapezoid if its bases are 3 and 9.
From the obtuse angle of the trapezoid, lower the height to the bottom base. In the resulting right-angled triangle, the height lies opposite an angle of 30 ° and is equal to half the hypotenuse or the side, that is, 3/2 = 1.5 centimeters. Let’s find what the area of the trapezoid is.
(3 + 9) / 2 * 1.5 = 9 cm ^ 2.
Answer: 9 square centimeters.
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