Horrible Hexagons #3

Geometry Level 2

The diagram above shows a regular hexagon \({ H }_{3 }\) with area \(H\) which has six right triangles inscribed in it. Let the area of the shaded region be \(S\), then what is the ratio \(H:S?\)

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Horrible Hexagons #3

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.