# Angle Between Diagonals?

Geometry Level 4

Find the acute angle $$\theta$$ between the diagonals of a rectangle with perimeter $$2p$$ and area $$\dfrac{3}{16}p^{2}$$.

If $$\theta$$ $$=$$ $$a$$ $$\tan^{-1} \left(\dfrac{b}{c} \right)$$ , where $$a , b , c$$ are coprime positive integers, then enter the value of $$a + b + c$$ .

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