A circle containing a regular pentagon and two equilateral triangles. All shown points are on the circle. What’s the angle α?
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A clear vision
Tag: pentagon
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Projection bias
Two regular pentagons are placed side by side. What’s the proportion blue : green?
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The pentagon attack
Two regular pentagons and two diagonals. What’s the angle α?
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The three day stubble
A regular pentagon and a square share two vertices. What’s the angle α?
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Mickey Mouse
Three regular pentagons and two extended sides. What fraction of the total area is red?
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The outsider
A circle with an inscribed regular pentagon, a square and a triangle. Prove that the point lies on the circumference of the circle.
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Crazy frog
A regular pentagon, two semicircles and two chords. What’s the length proportion a : b?
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The pentagon push
Two regular pentagons share a vertex. What’s the angle α?
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The bishop’s hat
Two overlapping regular pentagons share two vertices. What fraction is the overlap area?
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Tympanum II
A regular pentagon with a diagonal. What is the top angle of the isosceles triangle?