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THE FEUTEX TOOLKIT

Internal Angle Bisector Length

Find the internal angle bisector and how it divides the opposite side.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaBisector = sqrt(b*c*(1-a**2/(b+c)**2)); Division B = a*b/(b+c); Division C = a*c/(b+c)
Sources and model references

Made for real tasks

  • Find the internal angle bisector and how it divides the opposite side.
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Worked example

Inputs

Adjacent side b
5 length
Adjacent side c
4 length
Opposite side a
6 length

Expected results

Bisector
3.333333333 length
Division B
3.333333333 length
Division C
2.666666667 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 adjacent side b, adjacent side c, opposite side a.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "b": 5,
  "c": 4,
  "a": 6
}

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.