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Angle Bisector Length Calculator

Quick answer

This calculator computes the angle bisector length: exact formula l = √(ac((a+c)²−b²))/(a+c), worked example a = 6, c = 8, b = 10 cm → l = 4.85 cm.

  • Free, instant, any units.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the angle bisector length Calculator Works

l_b = √(a·c·((a+c)² − b²))/(a + c)

The calculator applies the exact formula l_b = √(a·c·((a+c)² − b²))/(a + c). Worked example: a = 6, c = 8, b = 10 cm → l = 4.85 cm. Keep every input in one unit system and the result follows in length units (m, ft, cm); full precision is kept until the final rounding. Angles in radians pair with s = rθ; convert degrees with × π/180.

  1. 1

    Enter the measurements

    Type the values required by the formula for angle bisector length.

  2. 2

    Check the units

    One unit system throughout — cm, m, ft or in.

  3. 3

    Read the result

    The calculator substitutes, evaluates and rounds only at the end.

Use Cases

Fabrication and layout work

Wire, trim and route length planning

Design and homework verification

Tips

  • 1

    Keep angles in radians for s = rθ formulas

  • 2

    1 rad = 57.2958°; degrees × π/180 = radians

  • 3

    Unroll curved paths into straight segments to sanity-check

Common Mistakes

  • Degrees entered where radians are required

  • Using the chord length as the arc length

  • Rounding π too early in chain calculations

FAQs