Find the height of the trapezoid whose base is 3.5 and 2.9 dm and the area is 2.56 dm2.

From the formula for the area of the trapezoid, we express the height of the trapezoid.

The area of the trapezoid is equal to the product of the half-sum of the lengths of its bases by the height.

Savsd = (ВС + AD) * ВН / 2.

ВН = 2 * Savsd / (ВС + AD) = 2 * 2.56 / (2.9 + 3.5) = 5.12 / 6.4 = 0.8 dm.

Answer: The height of the trapezoid is 0.8 dm.



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