Grades 11-12 Video Solutions 2013-Levels 11&12 Video Solutions 2013 problem26

Levels 11&12 Video Solutions 2013 problem26

Video Transcription

Video Summary

The problem involves determining the number of lines on a plane where lines A, B, and C intersect specific numbers of other lines. Line A intersects exactly three other lines, line B intersects four, and line C intersects a number different from three or four. Initially, seven lines are drawn, but adjustments are made to meet the conditions by removing existing intersections and adding a new line for line C. The solution finds that with careful planning and recognition of intersection constraints, the correct number of lines on the plane is six.

Keywords

plane

lines

intersections

geometry

constraints