Grades 9-10 Video Solutions 2025-2025_9-10

Video Transcription

Video Summary

In this problem, John arranges six circles in a triangular formation and assigns numbers from 1 to 6 so that the sum of the numbers on all three sides of the triangle is equal. He aims to find the possible sums of the numbers on the three vertices of the triangle. By examining the constraints, it's determined that the sum of the vertices is divisible by 3 and can be 6, 9, 12, or 15. Through evaluation, each of these sums is shown to be achievable, confirming four possible outcomes. Thus, there are four potential values for the sum of the vertices.

Keywords

triangle

circle arrangement

number assignment

sum of vertices

divisible by 3