Orthocenter Calculator

Find the orthocenter of a triangle from its three vertices.

Orthocenter x 2
Orthocenter y 1.6

Formula: Intersection of two altitudes

Step-by-step with your numbers:
1. Values used:
2. Aₓ = 0
3. A_y = 0
4. Bₓ = 6
5. B_y = 0
6. Cₓ = 2
7. C_y = 5
8.
9. Orthocenter x = 2
10. Orthocenter y = 1.6
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The orthocenter is where a triangle's three altitudes meet.

The math behind it

Each altitude passes through a vertex and is perpendicular to the opposite side. Intersecting any two altitudes gives the orthocenter.

Worked example

For a right triangle, the orthocenter sits exactly at the right-angle vertex.

FAQ

Can it lie outside the triangle?

Yes — for an obtuse triangle the orthocenter is outside it.