Grades 7-8 Video Solutions 2025-2025_7-8

Video Transcription

Video Summary

The problem involves determining the fraction of a regular hexagon that is shaded, given it's divided into triangles of equal area. Observing a single slice of the hexagon shows two shaded triangles out of six. Each of the six slices maintains this pattern. Therefore, the entire hexagon consists of 12 shaded triangles out of 36 total triangles. Consequently, the fraction of the hexagon that is shaded is \( \frac{12}{36} \), simplifying to \( \frac{1}{3} \). So, the shaded fraction of the hexagon is 1/3.

Keywords

hexagon

shaded fraction

triangles

equal area

geometry