Tri-Equilateral Trapezoid, calculator and formula

In a three-equilateral trapezoid, the two legs and one of the two parallel sides are of equal length. The unequal side can be up or down, respectively longer or shorter than the equal sides.

To calculate, enter sides a and b. Then click on the 'Calculate' button.

Trapezoid Calculator

Input

Unequal side a

Equal side b

Decimal places

Results

Diagonal d

Height h

Medium width m

Area A

Perimeter P

Angle α

Angle β

Circle radius rc

Formulas for tri-equilateral trapezoids

Diagonal

\(\displaystyle d=\sqrt{b·(a+b)}\)

Height

\(\displaystyle h=\frac{\sqrt{4·b^2-(a-b)^2}}{2} \)

Medium width

\(\displaystyle m=\frac{a+b}{2}\)

Area

\(\displaystyle A=\frac{(a+b) ·h}{2} \)

Perimeter

\(\displaystyle p=a+3· b \)

\(\displaystyle g=\frac{|a-b|}{2} \)

Angle α

\(\displaystyle α=acos\left(\frac{g^2+b^2+h^2}{2·g·b}\right) \)

Angle β

\(\displaystyle β=180°-α \)

Circle radius

\(\displaystyle rc=b·\sqrt{\frac{b·(a+b)}{4·b^2-(a-b)^2}} \)

Tri-Equilateral Trapezoid

Tri-Equilateral Trapezoid Calculator

Formulas for tri-equilateral trapezoids