Two squares share a vertex. What’s blue : green : orange?
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The Suresh triplet
Author: Rik D. Tangerman
An equilateral triangle and three line segments. What’s the angle α?
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The skew bridge
Two points are on opposite sides of a channel. A skew bridge, which has a fixed direction (for instance North East), can be placed anywhere along the channel. Where to place it such that the path from A to B over the bridge is the shortest?
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To the max
Two squares and two line segments. If the angle α is maximal, what is yellow : red?
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The film projector
A square and two congruent circles with three common tangents. What’s yellow : red?
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The douche cabine
A square containing three smaller squares and a quarter circle. What fraction is orange?
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The reflection principle
A green triangle with several line segments. Prove that the red point is its orthocentre.
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Block play
Three squares and two perpendicular line segments. What is red : yellow : blue?
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The dug-in heel
A rectangle containing a right triangle. What’s red : blue?
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The quarter trampoline
A quarter circle with two chords of given length. What is the area of the orange quadrilateral?