# Where is the love?

Triangle A intersects with Triangle B and shares a common area of $$30 \text{ m}^2$$. Triangle B shares a common area of $$40\text{ m}^2$$ with Triangle C, and Triangle C shares a common area of $$50 \text{ m}^2$$ with Triangle A. If all triangles have integer areas not greater than $$60 \text{ m}^2$$, and that every triangle must have an area strictly of its own, what is the minimum sum of areas of the three triangles?

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