# Area Equals Perimeter: Heronian

**Number Theory**Level 4

\(ABC\) is a right triangle with integer side lengths. The area of \(\triangle ABC\) is equal to its perimeter.

What is the sum of all possible areas of \(\triangle ABC\)?

\(ABC\) is a right triangle with integer side lengths. The area of \(\triangle ABC\) is equal to its perimeter.

What is the sum of all possible areas of \(\triangle ABC\)?

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