construct the perpendiculars to the sides of a given angle from a point on the angle bisector?

Question

show each step

Answer 1

Well, you can't really show them here. It requires drawing. But I can describe the steps.

1: Using a compass set wider than the distance between your point A and the sides B and C, mark off the 4 spots where the compass intersects the sides. Label the points B1, B2, C1, C2
2: Leaving the compass set to the same size, use the compass and ruler method to construct the perpendicular bisectors of the line segments B1-B2 and C1-C2
3: These bisectors intersect each other at point A. You're finished.