Grades 9-10 Video Solutions 2021-video 2021 9-10/6

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Video Summary

The problem involves determining the area of a regular hexagon formed by six congruent rhombuses, each with an area of 5 cm². These rhombuses form a star with inner sections equivalent to triangles. The hexagon's area includes these rhombuses plus triangular regions. Each rhombus angle is confirmed at 60 degrees, and the interior angles of the triangle are calculated to prove the triangle's area is half a rhombus, at 2.5 cm². Total area is computed by adding the areas of the rhombuses and triangles, resulting in an area of 45 cm² for the hexagon.

Keywords

hexagon

rhombuses

area calculation

triangles

geometry