Build a triangle from Angle Bisectors?
- Author:
- Judah L Schwartz
Three line segments (solid lines) intersect at a point.
Could they be the angle bisectors of some triangle?
You can use the sliders to set the lengths of the segments.
Drag the R, G and B dots to fix the point at
which the segments intersect and the angles between the segments.
The dotted rays show the bisected angles at the points R, G and B.
CHALLENGE: given three angle bisector lengths, locate the vertices
and determine the size of the angles of triangles RGB.
Can this always be done? Why or why not?