The diagonals of the trapezoid are 6 and 4 cm. The angle between the diagonals is 90 degrees. Find the area of the trapezoid.
| September 21, 2021 | education
Since a trapezoid is a convex quadrilateral, its area is equal to half the product of the lengths of its diagonals by the sine of the angle between them.
Savsd = (1/2) * AC * BD * SinBOA = (1/2) * 4 * 6 * Sin90 = 24/2 = 12 cm2.
Answer: The area of the trapezoid is 12 cm2.
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