Grades 11-12 Video Solutions 2014-11&12 Video Solutions 2014 problem26

11&12 Video Solutions 2014 problem26

Video Transcription

Video Summary

The problem involves two regular polygons with a shared side. One is a regular 15-gon, and the other is an unknown n-gon. Both have a side length of 1. The task is to determine the value of n such that the distance between two specific vertices, C and Z, is 1. For this, the triangle formed (BCZ) must be equilateral with an angle of 60 degrees. By calculating interior angles and solving for n, it is found that the n-gon must be a decagon (10-gon) to satisfy the condition, so the answer is A with \( n = 10 \).

Keywords

regular polygons

15-gon

n-gon

equilateral triangle

decagon