Right angle trapezoid

Calculators and formulas for calculating a right-angled trapezoid


To calculate the right-angled trapezoid, enter sides a and c, and side b or d. Then click on the 'Calculate' button.


Right trapezoid calculator

 Input
Long side a
Short side c
Decimal places
 Results
Long side a
Side b
Short side c
Slant side d
Diagonal e
Diagonal f
Median width m
Area A
Perimeter P
Angle α
Angle δ
Trapez

Formulas for calculating a trapezoid


Side length (a)

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

Side length (b)

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

Side length (c)

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

Side length (d)

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

Diagonal (e)

\(\displaystyle e=\sqrt{a^2+b^2}\)

Diagonal (f)

\(\displaystyle f=\sqrt{c^2+b^2} \)

Median width (m)

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

Perimeter (P)

\(\displaystyle P =a+b+c+d \)

Area (A)

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

Angle (α)

\(\displaystyle α=90°-acos\left(\frac{b^2+d^2-(a-c)^2}{2·b·d}\right) \)

Angle (δ)

\(\displaystyle δ=180°-α \)
Trapez


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