Grades 9-10 Video Solutions 2026-2026_9-10

Video Transcription

Video Summary

The solution finds angle relationships in the regular hexagon and squares: several angles are 30°, making triangle JBG equilateral. Drawing BP and letting X be its intersection with JG shows two 30-60-90 triangles. From these, PX, JX, and BX are in the ratio \(1:\sqrt{3}:3\). Since triangles JGP and BGJ share base JG, their areas are proportional to their heights PX and BX. Thus the area ratio is \(1:3\). The correct choice is C.

Keywords

regular hexagon

angle relationships

equilateral triangle

30-60-90 triangles

area ratio