Right angle trapezoid, calculator and formula

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

Formulas for calculating a trapezoid

Side a

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

Side b

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

Side c

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

Side 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

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

Perimeter

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

Area

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

Angle α

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

Angle δ

\(\displaystyle δ=180°-α \)

Right angle trapezoid

Calculate right-angled trapezoid

Formulas for calculating a trapezoid

Median width m

Area

Angle α

Angle δ