Orthocenter Calculator
Results
Orthocenter Coordinates
-
Triangle Area
-
Perimeter
-
Semi-perimeter
-
About Orthocenter
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude is a perpendicular line from a vertex to the opposite side.
Properties
- The orthocenter lies inside the triangle for acute triangles
- The orthocenter coincides with the vertex of the right angle for right triangles
- The orthocenter lies outside the triangle for obtuse triangles
- The orthocenter is the center of the triangle's orthic triangle
Formulas
For coordinates (x₁,y₁), (x₂,y₂), (x₃,y₃):
Orthocenter x = (x₁tan(A) + x₂tan(B) + x₃tan(C))/(tan(A) + tan(B) + tan(C))
Orthocenter y = (y₁tan(A) + y₂tan(B) + y₃tan(C))/(tan(A) + tan(B) + tan(C))