3.7 Construction Points of Concurrency - Investigation 3: Incenter
Right Triangle - Angle Bisector
Obtuse Triangle - Angle Bisector
Acute Triangle - Angle Bisector
Step 3 - Question
What do you notice?[br]I noticed that when I construct the circle inside the triangle it lands perfectly on the two other lines proving that the in-center is equidistant from the sides.
Incenter Conjecture
The in-center of a triangle is equidistant from the sides.