A Formula of the area equalangular convex pentagon
Let $ABCDE$ be a equalangular convex pentagon then
$Area(ABCDE)=\frac{1}{4}\cot\frac{\pi}{5}(a^2+b^2+c^2+d^2+e^2-\frac{(a-b)^2+(b-c)^2+(c-d)^2+(d-e)^2+(e-a)^2}{\sqrt{5}})$
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