Grades 11-12 Video Solutions 2012-2012_11-12

Video Transcription

Video Summary

The smallest possible angle in an isosceles triangle with a median that divides it into two isosceles triangles is 45 degrees. Initially, it was shown that if the median does not originate from the vertex of the apex angle, this leads to contradictions involving angle sizes, implying that no valid configuration exists. In the corrected setup, where the median acts as an altitude from the apex, each resulting triangle is a right isosceles triangle, establishing that the smallest angle possible in the original configuration is 45 degrees.

Keywords

isosceles triangle

median

smallest angle

right isosceles triangle

45 degrees