More triangles and circles
1. Using the diagram below, construct the angle bisectors for the triangle shown.
Hint: USE THREE POINTS rather than selecting the two arms of the angle to construct the angle bisector.
2. Drag any of the vertices of your triangle; describe what you notice about the three angle bisectors.
3. In the diagram below a circle has been constructed inside the triangle shown such that it is the largest circle possible within the bounds of the triangle.
a. Construct the centre of the circle; b. Construct the angle bisectors of the triangle. Drag any of the vertices of the triangle - what do you notice?