# Area........Perimeter

Geometry Level 5

$$\color{red}{\Delta ABC}$$ is a right angled triangle with integral sides $$\color{orange}{a}$$, $$\color{pink}{b}$$, and $$\color{green}{c}$$, having the special property that the area of the triangle is numerically double its perimeter.

Determine the maximum possible area of $$\color{blue}{\Delta ABC}$$.

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