Three squares on a grid. What is the ratio of the areas red : green : purple?
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Pythagoras times three
Tag: square
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Bottoming out II
A semicircle with three squares. What’s the angle α?
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The heptagon square
What is the angle α between the blue line and the baseline of the orange square?
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A golden year
Two squares, a rectangle and a semicircle. What is yellow : green?
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Inside the box II
A square contains four other squares. Prove that the red line segment is parallel to its vertical sides.
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The mis-stacked trays
A rectangle is turned 90°, bisecting a bigger rectangle of the same shape. When squares are removed from the two side pieces, the remaining rectangles have the same shape as well. What is the common ratio of the rectangle side lengths?
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Compartmentalization
A square with two circles and two common tangents. What’s red : blue?
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Inside the box
Two squares inside a square share a vertex. What’s the angle α?
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Stuck in the corner
A square with a diagonal and a right triangle. What fraction is red?
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Four square
Four squares. The red vertex is the centroid of the red triangle. What is the yellow area?