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Orthocenter Calculator.

Find the orthocenter of a triangle from its three Cartesian vertices.

On-device calculationNo signup
01

Set your values

Results update as you type.

x: 0

x

0.000000
y: 0

y

0.000000
circumcenterX: 2

circumcenterX

2.000000
circumcenterY: 1.5

circumcenterY

1.500000
centroidX: 1.333333

centroidX

1.333333
centroidY: 1

centroidY

1.000000

Results update automatically as you type.

Use Cases

Geometry homework and assignments

Quickly verify orthocenter calculations for geometry problems, saving time and reducing errors.

Example: Check the orthocenter of a triangle with vertices (0,0), (4,0), and (0,3).

Engineering and design reference

Use the orthocenter as a reference point in structural or mechanical design when working with triangular shapes.

Example: Find the orthocenter of a triangular plate with given corner coordinates.

Frequently Asked Questions

What is the orthocenter of a triangle?
The orthocenter is the point where the three altitudes of a triangle intersect. An altitude is a line segment from a vertex perpendicular to the opposite side. This calculator finds that point using the Cartesian coordinates of the triangle's vertices.
How do I use this orthocenter calculator?
Enter the x and y coordinates for Vertex A, Vertex B, and Vertex C in the provided fields. Then click the calculate button. The calculator will compute the orthocenter's coordinates based on the intersection of the altitudes.
Can the orthocenter be outside the triangle?
Yes. For obtuse triangles, the orthocenter lies outside the triangle. For right triangles, it is at the right-angle vertex. For acute triangles, it is inside. This calculator will give the correct coordinates regardless of triangle type.

Tips & Common Mistakes

Tips

  • Ensure all six coordinate fields are filled with numeric values before calculating.
  • Double-check your coordinate signs (positive/negative) to avoid errors.
  • For a right triangle, the orthocenter is simply the vertex where the right angle is located.
  • Use the result to verify your manual altitude intersection calculations.

Common Mistakes to Avoid

  • Entering coordinates in the wrong order (e.g., swapping x and y for a vertex).
  • Using decimal commas instead of decimal points (e.g., 3,5 instead of 3.5).
  • Forgetting to include negative signs for coordinates in the third quadrant.

Last updated: August 13, 2026