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Area of a special triangle

In \(\Delta ABC\) if \(A,B,C\) are the measures of angles , \(I,O,H\) are incenter, circumcenter, orthocenter respectively, prove that:

\[\large [IOH]=\left| 2R^2\sin\left(\dfrac{B-C}{2}\right)\sin\left(\dfrac{C-A}{2}\right)\sin\left(\dfrac{A-B}{2}\right)\right|\]

  • \([IOH]\) indicates area of \(\Delta IOH\).

Note by Nihar Mahajan
2 years, 2 months ago

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