Calculator and formulas for calculating the properties of a half square kite
This calculator calculates area, perimeter, angle and more properties of a half-square kite. The half square kite has a right angle at one of the non-symmetrical corners.
Enter the lengths of sides a and b. Then click on the 'Calculate' button.
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\(\displaystyle a= \frac{A}{b · sin(β)}\)
\(\displaystyle = \sqrt{ (2· A)- (e_2 · f)}\)
\(\displaystyle b= \frac{A}{a · sin(β)}\)
\(\displaystyle A= \frac{a^2+(e2 · f)} {2}\)
\(\displaystyle U=2 · (a+b)\)
\(\displaystyle e= \sqrt{a^2 + b^2 - (2 · a · b · cos(β))}\)
\(\displaystyle e_1 = \frac{a}{\sqrt{2}}e\)
\(\displaystyle e_2 = e-e_1\)
\(\displaystyle f= \sqrt{2} · a\)
\(\displaystyle γ = arccos \left(\frac{2 · b^2 - f^2}{2 · b^2}\right)\)
\(\displaystyle β = \frac{270 - γ}{ 2 } \)
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