Area of a triangle whose sides are algebraic expressions

1. A.
   $\frac{\sqrt{a^2 + b^2 + c^2}}{2}$
2. B.
   $\frac{\sqrt{a^2b^2 + b^2c^2 + c^2a^2}}{2}$
3. C.
   $\frac{a(b + c)}{2}$
4. D.
   $\frac{\sqrt{3(a^2b^2 + b^2c^2 + c^2a^2)}}{2}$

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1. A.
   $\frac{(x + y + z)^2}{xyz}$
2. B.
   $\frac{\sqrt{xyz}}{x + y + z}$
3. C.
   $\sqrt{\frac{x}{y} + \frac{y}{z} + \frac{z}{x}}$
4. D.
   $\sqrt{\frac{xy + yz + zx}{xyz}}$

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