In \(\Delta ABC\) if \(A,B,C\) are the measures of angles , \(I,O,H\) are incenter, circumcenter, orthocenter respectively, prove that:
[IOH]=∣2R2sin(B−C2)sin(C−A2)sin(A−B2)∣\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]=∣∣∣∣∣2R2sin(2B−C)sin(2C−A)sin(2A−B)∣∣∣∣∣
Note by Nihar Mahajan 5 years, 10 months ago
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Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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