# Random Triangle

Consider two points on a Cartesian coordinate system, $$\,\text{A}(-2,1)$$ and $$\,\text{B}(0,-3)$$. Point $$\,\text{C}$$ is then drawn such that $$\overrightarrow{AC}\perp \overrightarrow{BC}$$. The expected area of $$\Delta\text{ABC}$$ can be expressed as $$\;\frac{a}{b\pi}$$, where $$\,a$$ and $$\,b$$ are positive integers. Calculate $$\,a+b$$.

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