Grades 9-10 Video Solutions 2010-Levels 9&10 Video Solutions 2010 problem25

Levels 9&10 Video Solutions 2010 problem25

Video Transcription

Video Summary

In this problem, segments are drawn from a point A0 on one ray of a 9-degree angle, creating isosceles triangles with alternating sides. Each step increases the index of the triangle, forming angles at each point. Starting from two 9-degree angles at A0, the central angle is calculated by subtracting the known angles from 180 degrees. The process continues with each new point, where the two identical angles in each triangle are multiples of 9. The maximum number of triangles formed, before one angle becomes non-existent, is nine. Therefore, nine segments can be drawn, forming nine valid triangles.

Keywords

isosceles triangles

9-degree angle

central angle

triangles formation

maximum segments