Tri-Equilateral Trapezoid
Calculator and formulas for a tri-Equilateral trapezoid
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.
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Formulas for the three-equilateral trapezoid
Diagonal (d)
\(\displaystyle d=\sqrt{b·(a+b)}\)
Height (h)
\(\displaystyle h=\frac{\sqrt{4·b^2-(a-b)^2}}{2} \)
Medium width (m)
\(\displaystyle m=\frac{a+b}{2}\)
Area (A)
\(\displaystyle A=\frac{(a+b) ·h}{2} \)
Perimeter (P)
\(\displaystyle P=a+3· b \)
Angle (α)
\(\displaystyle α=acos\left(\frac{g^2+b^2+h^2}{2·g·b}\right) \)
\(\displaystyle g=\frac{|a-b|}{2} \)
Angle (β)
\(\displaystyle β=180°-α \)
Circumference Radius (rc)
\(\displaystyle rc=b·\sqrt{\frac{b·(a+b)}{4·b^2-(a-b)^2}} \)
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