Function Repository Resource:

Trapezoid

Source Notebook

Create quadrilateral polygon with two parallel sides

Contributed by: Nikolay Murzin

ResourceFunction["Trapezoid"][a,α,b,β]

represents a filled trapezoid with parallel sides with lengths a and b, and base angles α and β.

Details and Options

The parameters a, b, α and β used in ResourceFunction["Trapezoid"] are as shown in the following diagram:

ResourceFunction["Trapezoid"] returns a Polygon with A at the origin and D on the positive x-axis.

The shorter of the parallel sides of the trapezoid is always on top. With a<b, line BC lies in the half-plane y>0; otherwise, it lies in the y<0 half-plane.

Examples

Basic Examples (3)

A trapezoid with sides 2 and 6 and base angles of 60° and 30°:

In[1]:=

$trap = ResourceFunction["Trapezoid"][2, 60 \[Degree], 6, 30 \[Degree]]$

Out[1]=

Visualize it:

In[2]:=

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Compute the area of this shape:

In[3]:=

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Scope (1)

Get symbolically-computed coordinates for the vertices of a trapezoid:

In[4]:=

$ResourceFunction["Trapezoid"][a, \[Alpha], b, \[Beta]]$

Out[4]=

Applications (1)

Use a trapezoid in a GeometricScene computation:

In[5]:=

$RandomInstance@ GeometricScene[{{"A", "B", "C", "D"}, {\[Alpha], \[Beta]}}, { Polygon[{"A", "B", "C", "D"}] == ResourceFunction["Trapezoid"][5, \[Alpha], 8, \[Beta]] } ]$