Orthocentre of triangle formed by orthocentre and other 2 vertices
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Orthocentre of triangle formed by orthocentre and other 2 vertices is the Third vertex.
The Altitudes drawn to the sides of a triangle are concurrent. The point of concurrency is Orthocentre.
So, A principle is that,
If A, B, C are the sides of a triangle and O is Orthocentre, then the Orthocentre of any three points is the fourth point.
Orthocentre of ΔABC = O
Orthocentre of ΔBOC = A
Orthocentre of ΔAOC = B
Orthocentre of ΔAOB = C
Few more points that can help are,
In an acute angled triangle, Orthocentre lies inside the triangle.
In an obtuse angled triangle, Orthocentre lies outside the triangle.
In a right angled triangle, Orthocentre lies at the vertex at the Right angle.
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