# Algebra... or Geometry?!

Geometry Level 3

Given that positive real numbers x,y and z satisfy following conditions.

$$x^{2}+xy+\frac{y^{2}}{3}=25$$

$$\frac{y^{2}}{3}+z^{2}=9$$

$$z^{2}+zx+x^{2}=16$$

Find the value of $$\sqrt{3}$$(xy+2yz+3zx)

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