Two squares, three circles and a common tangent. What fraction is coloured?
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Marble box II
Month: August 2021
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Out of the box
Two squares and two given areas. What’s the total area?
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The spotlight
A right triangle with two cevians. What’s the angle α?
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The lemon slice
A semicircle is inscribed in a quarter circle. What is the minimal yellow fraction?
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Connecting the dots
Three squares share three vertices which form a right triangle. Their centres are connected to form another triangle of which one side is given. What’s the blue area?
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Between the bars
Two parallel lines support two rectangles. Prove they have equal area.
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Mount Fuji
An equilateral triangle inscribed in a circle is divided by a diameter parallel to one of it’s sides. What is the proportion light : dark blue?