Crossed Square calculator and formulas

This function calculates various parameters of a crossed quadrilateral.

In a crossed square, two sidelines cross.

To calculate, enter the lengths of base a and length b. Then click on the 'Calculate' button.

Crossed square calculator

Input

Base a

Length b

Decimal places

Results

Leg length c

Area A

Perimeter U

Angle α

Angle β

Angle γ

Formulas to the crossed square

Leg length c

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

Perimeter

\(\displaystyle U=2a+4c\)

Area

\(\displaystyle A=\frac{a·b}{2} \)

Angle γ

\(\displaystyle γ= acos\left(\frac{2c^2-a^2}{2c^2}\right) \)

Angle β

\(\displaystyle β= 180°-γ \)

Angle α

\(\displaystyle α=\frac{β}{2}\)