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Omni-MATH / A triangle with side lengths 5,7,8 is inscribed in a circle C. The diameters of C parallel to the sides of lengths 5 and 8 divide C into four sectors. What is the area of either of…

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problem

A triangle with side lengths 5,7,85,7,8 is inscribed in a circle CC. The diameters of CC parallel to the sides of lengths 5 and 8 divide CC into four sectors. What is the area of either of the two smaller ones?
Plain-text mathematical notation (without MathML)
A triangle with side lengths 5,7,8 is inscribed in a circle C. The diameters of C parallel to the sides of lengths 5 and 8 divide C into four sectors. What is the area of either of the two smaller ones?
Original LaTeX notation
A triangle with side lengths $5,7,8$ is inscribed in a circle $C$. The diameters of $C$ parallel to the sides of lengths 5 and 8 divide $C$ into four sectors. What is the area of either of the two smaller ones?

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