Use this triangle angle bisector calculator to calculate angle bisector of triangle given the triangle sides. Learn the triangle bisector formula in practice.
l = length of angle bisector from vertex opposite side a
a, b, c = triangle sides
The triangle bisector formula finds the angle bisector length using three sides.
| a | b | c | Bisector l |
|---|---|---|---|
| 5 | 4 | 3 | 3.872983 |
| 6 | 5 | 4 | 4.898979 |
| 7 | 6 | 5 | 5.916080 |
| 8 | 5 | 6 | 6.324555 |
| 10 | 6 | 8 | 7.615773 |
To manually calculate angle bisector of triangle:
1. Identify the side opposite the vertex (side a).
2. Measure the other two sides (b and c).
3. Apply the formula l = (2 / (b + c)) × √(b c ((b + c)² − a²)).
4. The result is the bisector length.
This triangle angle bisector calculator computes the bisector length instantly with six-decimal precision using the triangle bisector formula.
• The angle bisector divides the opposite side proportionally to adjacent sides.
• Three angle bisectors intersect at the incenter.
• The incenter is the center of the inscribed circle.
• Angle bisectors are used in geometry and construction.
• Bisectors help in determining triangle centers and symmetry.