Trapezfläche Berechnen
de

Right Trapezoid Area Calculator

A right trapezoid (right-angled trapezium) features one vertical leg perpendicular to both bases, forming two consecutive 90° right angles.

Calculated Area
—
Base a (top) Base b (bottom) Height h (90°) Slant Leg c

Right Trapezoid Formulas and Geometric Properties

In a right trapezoid (or right-angled trapezium), the perpendicular distance between both parallel bases is exactly equal to the length of the perpendicular side.

1. Area Formula

The area uses the standard formula since the perpendicular side is the height:

Area = ½ × (a + b) × h

2. Slant Leg via Pythagorean Theorem

By dropping an altitude from the end of the shorter base to the longer base, a right triangle is formed with hypotenuse $c$, vertical leg $h$, and base difference $|a - b|$:

c = √(h² + (a - b)²)
h = √(c² - (a - b)²) (requires c > |a - b|)

3. Perimeter

Perimeter = a + b + h + c
Komplette Rechner-Suite

Spezialisierte Trapez-Rechner

Berechnen Sie Fläche, Umfang und fehlende Maße für jede Trapez-Geometrie und Anwendung.

Frequently Asked Questions

What is the formula for the area of a right trapezoid?
The area of a right trapezoid is half the sum of its two parallel bases multiplied by its perpendicular height: A = ½(a + b)h.
How do you find the height of a right trapezoid?
A right trapezoid has a leg perpendicular to both parallel bases. The length of this perpendicular leg is the height.
How do you calculate the area of a trapezoid with two right angles?
If the trapezoid has two right angles, the perpendicular side between the parallel bases gives its height. Add the parallel bases, multiply by the height, and divide by two.
Can you find the area of a right trapezoid using its side lengths?
Yes. If the two parallel bases and the perpendicular leg are known, the area can be calculated directly. If other side lengths are provided, additional geometric relationships may be needed to determine the height.
Is the area formula different for a right trapezoid?
No. A right trapezoid uses the same area formula as any other trapezoid. Its right angles simply make it easier to identify the perpendicular height.
What is the difference between a right trapezoid and an isosceles trapezoid?
A right trapezoid has a leg perpendicular to its parallel bases, creating two right angles. An isosceles trapezoid has equal non-parallel sides. These are different geometric properties.