Waste less time on Facebook — follow Brilliant.

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
1 year, 2 months ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...