A rectangle is divided in six similar triangles. What is the proportion green : yellow : red : blue?
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Missing pieces
Category: Beginner
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The root cause
A square and an equilateral triangle are divided in several polygons. What is the proportion yellow : blue?
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The holy number
An equilateral triangle and several line segments. What fraction is purple?
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Protection
Two coloured squares inside a triangle inside a square of side length a. What is the length proportion a : b?
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The miniature version
Two rectangles share a vertex. Two line segments connecting opposing vertices and the common side intersect in a single point. Prove that the rectangles are similar.
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The Transamerica Pyramid
Two squares inscribed in a triangle. What fraction of its area is coloured?
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The three day stubble
A regular pentagon and a square share two vertices. What’s the angle α?
Three squares are placed as shown. What fraction of the total area is green?
A square containing a rectangle and a tangent quarter circle. What fraction is orange?
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The pine forest
A square containing a quarter circle. What’s the proportion blue : brown : green?