Grades 11-12 Video Solutions 2011-11&12 Video Solutions 2011 problem19

11&12 Video Solutions 2011 problem19

Video Transcription

Video Summary

The task is to find the length of the missing side of a convex hexagon with sides tangent to an inscribed circle. The given side lengths are 4, 5, 6, 7, and 8, with one side length missing. By labeling and analyzing the relationships between the sides and tangent points, the equation 4 + 8 = E + D + A + F is established. With further relationships and calculations (notably A + D = 6), it is found that E + F equals 6. Thus, the length of the missing side is 6, choice D.

Keywords

convex hexagon

inscribed circle

missing side length

tangent points

geometry problem