Question

Why is it not necessary to construct the angle bisector of all three of an

angles of the triangle?

Answer 1

The angle bisector is construct.

We first constructed a large triangle with acute angles. Then from point A we made a semicircular section to its sides. At the intersection of the sides and the semicircular section, we construct two circles so that they intersect. Then from the point A draw a line through the intersection of the circles and thus obtain the bisector of the angle.

We repeat the same procedure for point B and for point C. In this way,

I obtain a bisector for all angles of a triangle.