Grades 9-10 Video Solutions 2013-Level 9&10 Video Solutions 2013 problem17

Level 9&10 Video Solutions 2013 problem17

Video Transcription

Video Summary

In the quadrilateral PQRS, the task is to determine the longest line segment. By focusing on the triangles within the quadrilateral and identifying sides opposite the largest angles, it is determined that segments PS and RS are the longest. Using similar triangles, the ratio PS to RS is compared to SQ to RQ. Since SQ over RQ is greater than 1, PS over RS must also be greater than 1, indicating PS is longer than RS. Thus, PS is the longest segment in the quadrilateral.

Keywords

quadrilateral

longest segment

triangles

similar triangles