18. Construct a Triangle Given the Length of Its Base, the Difference of Angles at Its Base and the Point of Intersection of an Angle Bisector with Its Base

This Demonstration shows a construction of a triangle given the length of its base , the difference of the base angles and the point of intersection of the angle bisector with the base .

Construction

Step 1: Draw a segment of length and a point on that segment.

Step 2: Construct the ray from that forms the angle with and the ray from that forms the angle with . Let be the intersection of and .

Step 3: Draw a ray from at an angle from . The point is the intersection of with an extension of the segment .