Incircle Challenge

[Acorn]

Here is a detailed Hint about Angle Bisectors.

• Clone the Triangle and move it to a Guides Layer.
• Make two further Clones of the Triangle.
• Ctrl+Rotate both about a vertex until you snap an edge to the horizontal or vertical.
• Flip one Clone H or V, depending on the axis you have matched with. You should now have a Dart shape.
• Rotate the Clones back into place. I appended a short vertical leg to get this exactly right.
• With the two Clones selected, Add Shapes.
• Switch to the Shape Tool and delete all points apart from the point and the notch.

You now have the Angle Bisector.
The following diagram has an exaggerated Green Line for the solution and the two Clones were left in a vertical position before Adding to show the overall alignments.

Done properly all the construction shapes disappear leaving only the Angle Bisector, drawn to the full extent of the Triangle.
It all relies on Cloning and Ctrl+Rotation, without measurement.



Acorn