Grades 9-10 Video Solutions 2021-video 2021 9-10/3

Video Transcription

Video Summary

The problem involves determining the relative lengths of three paths (P, Q, R) in an equilateral triangle park, ranging from the upper corner to the lower right corner. Disregarding the bottom edge and side paths due to symmetry, the focus is on three intermediary horizontal paths identified as long (magenta), medium (yellow), and short (orange) based on their position. The paths' lengths are such that P = a + b, Q = b + c, and R = c + a. Through analysis, the conclusion is that P < R < Q, making this the correct statement about the lengths.

Keywords

equilateral triangle

path lengths

symmetry

relative lengths

P < R < Q