A regular hexagon is divided in four triangles and one quadrilateral. Express the hexagon area in terms of areas A, B and C.
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Tip of tipi
Tag: hexagon
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The Dutch roll
Two regular hexagons share a vertex. What is the angle α?
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Hex division II
A regular hexagon and two equals angles. What is blue : green : red?
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Stand behind
Two regular hexagons share a vertex. Prove that the blue points are collinear.
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Pull the string
Two regular hexagons and a circumcircle. What is blue : red?
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Six six four
Two regular hexagons and a square. What’s the angle α?
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The punctured hexagon
A regular hexagon, a square and an equilateral triangle. Show that the top vertex of the triangle is on the hexagon circumcircle.
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Four six four
A regular hexagon and two similar rectangles. What fraction is green?
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Six four
A regular hexagon and an inscribed tilted rectangle. What is the angle α?
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Ball of yarn
A cyclic hexagon has concurrent cross diagonals. What is the ratio of the product of the orange sides compared to the product of the purple sides. (ace:bdf).