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THE FEUTEX TOOLKIT

Triangle Orthocenter from Coordinates

Locate the intersection of triangle altitudes from three measured vertices.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaX = ax+bx+cx-2*(((ax**2+ay**2)*(by-cy)+(bx**2+by**2)*(cy-ay)+(cx**2+cy**2)*(ay-by))/(2*(ax*(by-cy)+bx*(cy-ay)+cx*(ay-by)))); Y = ay+by+cy-2*(((ax**2+ay**2)*(cx-bx)+(bx**2+by**2)*(ax-cx)+(cx**2+cy**2)*(bx-ax))/(2*(ax*(by-cy)+bx*(cy-ay)+cx*(ay-by))))
Sources and model references

Made for real tasks

  • Locate the intersection of triangle altitudes from three measured vertices.
Explore step-by-step workflows →

Worked example

Inputs

A x
0 length
A y
0 length
B x
4 length
B y
0 length
C x
1 length
C y
3 length

Expected results

X
1 length
Y
1 length

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter a x, a y, b x, b y, c x, c y.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "ax": 0,
  "ay": 0,
  "bx": 4,
  "by": 0,
  "cx": 1,
  "cy": 3
}

Accuracy and scope

Uses finite-precision arithmetic. Results describe the stated mathematical model, not measurement accuracy.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.