Proportions with an Angle Bisector in a Triangle
- Author:
- Seth Risinger
Use the Geogebra page below to discover a proportion relationship of angle bisectors in triangles.
Drag the vertices of the triangle and observe point D.
1). Is point D always the midpoint of segment BC?
2). Drag some more. Under what conditions will point D be the midpoint of segment BC?
3). Move the triangle so that AB is greater than AC. How does BD compare to CD?
4). Your answer to question 3 may give you an idea for a proportion. Use the input bar to measure the ratios involving AB, AC, BD, and CD to see if you can create equal ratios (a proportion).
5). Try writing your idea as a conjecture.