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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The outsider
Tag: pentagon
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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?
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The tympanum
A regular pentagon with a diagonal and an extended side. What is the top angle of the isosceles triangle?
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Daft Mouse
A square with two attached regular pentagons. A side and a diagonal are extended. What’s the angle?
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The spinning top
An equilateral triangle stacked on a pentagon. What’s the angle?
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The Pentagon peaches
Five equally sized peaches are closely packed in a pentagon-shaped box. Their midpoints are the vertices of a smaller pentagon. What fraction is shaded?