A regular hexagon and two equilateral triangles share a vertex. What is the area proportion blue : yellow?

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geometry puzzles for fun and beauty

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Two regular hexagons share two vertices. What fraction of the area is purple?

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A regular hexagon with a diagonal and a line segment connecting a vertex to a point on the other side. The two triangle areas are given. What is the hexagon’s area?

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Two regular hexagons connected by a rectangle. Prove that the five vertices lie on a circle.

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Three unit squares form the skeleton of a hexagon. What’s the area of the yellow rectangle?

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A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?

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Six congruent equilateral triangles placed outside a regular hexagon. What fraction is coloured?

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A regular hexagon with triangles to an internal point. What fraction is shaded?