Angle Bisector Calculator
Find angle bisectors, explore properties, and visualize geometric relationships with our interactive tool
Triangle Vertex Coordinates
Angle Bisector Results
Visualization
Properties of Angle Bisectors
Angle Bisector Theorem
The angle bisector of a triangle divides the opposite side into two segments proportional to the adjacent sides.
Incenter
The point where all three angle bisectors intersect is called the incenter, which is the center of the triangle's incircle.
Equidistant Property
Any point on an angle bisector is equidistant from the two sides of the angle.
📐 Common Angle Bisector Examples
Equilateral Triangle
All angle bisectors are equal and coincide with medians and altitudes.
Isosceles Triangle
The angle bisector of the vertex angle is also the median and altitude.
Right Triangle
The angle bisector of the right angle divides it into two 45° angles.
🔧 Practical Applications
Architecture
Used in designing symmetrical structures and calculating roof angles.
Navigation
Helps in calculating optimal paths and angle measurements.
Engineering
Essential for force vector analysis and mechanical design.
Art & Design
Used in perspective drawing and creating symmetrical patterns.
Note: This calculator provides precise angle bisector calculations based on mathematical formulas. For critical applications, always verify results with additional methods.