Altura do Trapézio (dada área)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
h = 2A/(B+b)
About this calculator
This calculator determines the height of a trapezoid given its area and the lengths of the two bases. The height is the perpendicular distance between the bases. The formula used is h = 2A / (B + b), where A is the area, B is the longer base, and b is the shorter base. The result is given in the same unit as the bases.
To use the calculator, enter the area and the two base lengths. Ensure all measurements are in the same unit (e.g., meters for bases and square meters for area). The calculator sums the bases, divides the area by that sum, and multiplies by two. This calculation is useful in engineering, architecture, and geometry.
The height of a trapezoid is essential for determining the volume of trapezoidal prisms or calculating land slopes. For example, when designing a gutter or a roof, knowing the height helps define water flow. The formula derives from the area of a trapezoid: A = (B + b) * h / 2.
Caution: the area must be positive and the bases must be real numbers. If the longer base is shorter than the shorter base, the trapezoid may be inverted, but the formula still works. Ensure the area unit is the square of the base unit. For trapezoids with non-parallel sides, the height is the perpendicular distance between bases, not the length of the slanted side.
Frequently asked questions
Can I use the calculator if the trapezoid is isosceles?
Yes, the formula works for any trapezoid, regardless of angles. The height is always the perpendicular distance between the bases.
What if I have the height and want the area?
Use the formula A = (B + b) * h / 2. Our calculator is specific for height, but you can reverse the calculation manually.
What unit should I use for the area?
The area must be in the square unit corresponding to the bases. If bases are in meters, area must be in square meters.
What if the longer base is smaller than the shorter base?
The calculator will still work because addition is commutative. Just ensure the values are correct for your trapezoid.
Can the height be negative?
No, height is always positive. If the result is negative, check that the area and bases are positive.