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History of Hindu Mathematics: A Source Book v2.c17.s19.t2.17

History of Hindu Mathematics: A Source Book v2.c17.s19.t2.17

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v2.c17.s19.t2.17

Then the sides of a rational triangle inscribed in a circle of diameter D will be $2mnD/(p² + q²), 2mnD/(m² + n²), 2mnD((p² - q²) ± (m² - n²))/((m² + n²) (p² + q²));$ and its altitude will be $(D(2mn)²)/((m² + n²)(p² + q²)).$