Triangle Orthocenter Calculator
Triangle Orthocenter: calculate results from explicit inputs, with a formula and worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision.
Example Calculation
- x₁: 0
- y₁: 0
- x₂: 6
- y₂: 0
- x₃: 0
- y₃: 8
The right triangle (0,0), (6,0), (0,8) has orthocenter (0,0).
Frequently asked questions
How do I use this calculator?
Enter x₁, y₁, x₂, y₂, x₃, y₃. The result updates automatically. Use Reset to restore the example values.
What method does it use?
H = A + B + C − 2O, where O is the circumcenter.. Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.