Right Trapezoid Calculator

Name: Right Trapezoid - Geometry Calculator
Author: Jürgen Kummer

Calculations at a right trapezoid (or right trapezium). This is a trapezoid with two adjacent right angles. The other two angles are an acute angle on the longer side and an obtuse angle on the shorter side.
Enter the lengths of the two parallel sides a and c and either base b or slant side d. Choose the number of decimal places and click Calculate. Angles are calculated and displayed in degrees, here you can convert angle units.

Formulas:

b = \sqrt{d^{2} - {(a - c)}^{2}}

d = \sqrt{{(a - c)}^{2} + b^{2}}

e = \sqrt{a^{2} + b^{2}}

f = \sqrt{c^{2} + b^{2}}

m = \frac{a + c}{2}

p = a + b + c + d

A = \frac{1}{2} \cdot b \cdot (a + c)

α = 90 ° - \arccos [\frac{b^{2} + d^{2} - {(a - c)}^{2}}{2 \cdot b \cdot d}]

δ = 180 ° - α

Side lengths, diagonals and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

If you divide a rectangle diagonally by two opposite sides, you get two zright trapezoids. A right trapezoid divided by one of the two diagonals results in a right triangle and a general triangle. The right trapezoid divided by its center line (also called the median parallel) or a line parallel to it results in two new, smaller right trapezoids. Finally, if you divide it by a perpendicular from the longer side to the obtuse angle, you get a rectangle and a right triangle. The right trapezoid forms two side faces of the wedge cuboid, the half cuboid and the skewed cuboid. It also appears in the skewed three-edged prism and of course, as with any polygon, a prism can also be built on the basis of a right trapezoid.
The parallel sides of the right trapezoid are called the base sides. The two non-parallel sides are the legs. One of the two legs is perpendicular to both parallel sides, its length corresponds to their distance and is sometimes called the height of the trapezoid.

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