Grades 11-12 Video Solutions 2025-2025_11-12

Video Transcription

Video Summary

In this Math Kangaroo problem, Robert needs to remove one point from a set of five (A, B, C, D, and E) to ensure all distances between the remaining points are unique. Using the Pythagorean theorem and by analyzing the distances graphically (represented by colors like magenta and blue), the solution requires identifying pairs of equal distances shared by points. By systematically examining and eliminating possibilities, it is determined that only removing point D satisfies the condition of having distinct distances among all remaining points. This solution leaves only unique distance pairs—orange, magenta, and blue—intact, thus fulfilling the problem’s requirement.

Keywords

Math Kangaroo

unique distances

Pythagorean theorem

point removal

graphical analysis