A triangle containing two congruent squares. Each square has 1/3 the perimeter and 1/6 the area of the triangle. What’s the triangle side length proportion a : b : c?
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A light packing
Tag: length
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The glass splinter
A triangle of which two sides and one angle are given. What’s the angle α?
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The Christmas star
Two congruent concentric equilateral triangles. Prove that the gold fraction is red/blue.
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Pushing the boundary
Two equilateral triangles are placed side by side. What’s the proportion green : red?
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A deep connection
Two squares inside a circle. What is the circle area in terms of length a?
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Square one
Three squares share a vertex. Two line segments pass through side midpoints. Prove that a : b = c : d.
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The japanese progression
An isosceles trapezium with its inscribed circle. If the lengths are such that b-a=c-b=d-c, what is a : b : c : d?
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The bear trap
A semicircle with two tangents and a perpendicular line segment from a tangency point. What is the blue area in terms of lengths a and b?
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The road less traveled
What is the area of the trapezium in terms of lengths a and b?
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The hand fan
Three congruent triangles constitute a quadrilateral. What’s red : blue?