Two squares share a vertex. What’s the proportion blue : green?
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David and Goliath
Tag: square
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The core business
Two squares with two highlighted vertices and a centre. Proof that these points are collinear.
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The square telescope
Three squares and four extended sides. What is the yellow area X in terms of blue and green areas A and B?
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Arc de Triomphe
A parabola passing through a square’s bottom vertices and tangent to its top side. What fraction is blue?
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The giant’s shoulder
Two equilateral triangles inside a square. What’s the proportion orange : blue?
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Buddha’s belly
A square containing a quarter circle and a tangent line segment. What is a : b?
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The ball pool
A square having side length 12 contains a quarter, semi and full circle. The centres of the latter two are connected to the square’s centre to form a green triangle. What is it’s area?
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Square eyes
A square with four quarter circles of which the intersection points are the vertices of a yellow quadrilateral. What fraction of the total area is yellow?
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The Queen’s chamber
A right triangle with three squares forming a smaller inner triangle. What is the maximal blue fraction?
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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.