Five equidistant parallel line segments. What’s the proportion green : red?
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The double helix
Tag: length
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The push-up
Two squares share a vertex. What’s the proportion x : y in terms of side lengths a and b?
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The triangle pull
An equilateral triangle with given distances between its vertices and an exterior point. What’s its side length x?
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Opposing camps
A square containing two overlapping equilateral triangles. What’s the length proportion a : b?
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Seeing double
Five circles, of which the green circles are congruent and so are the blue ones. If rblue : rgreen= 6, what’s rred : rgreen?
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Spiegel im Spiegel
A triangle with an inscribed triangle. What fraction of the former does the latter cover in terms of lengths a, b, c, d, e and f?
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The lever of Archimedes
Two congruent triangles are placed as shown. A line segment passes through the centroid of the yellow triangle. What’s the proportion a : b?
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The sacrosanct circles
Two tangent circles and two tangent line segments meeting in a point on the outer circle. The tangency points are connected by a line segment of length x. What’s x in terms of a and b?
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Check and balance
A square divided by three line segments. The red and blue areas are equal. What’s the length proportion a : b?
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Extreme parallelism
Four parallel line segments, one of which is divided in three parts. What is the proportion blue : red : green?