Two squares inside a square share a vertex. What’s the angle α?
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Inside the box
Tag: square
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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?
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The propeller
The blue square blades are twice as long as the red triangle sides. What is the ratio of red to yellow areas?
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The two-state solution
Two congruent squares share a vertex. What fraction is yellow?
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Wild floor tile
What is the ratio of areas, purple/green, when the orange octagon is regular (all angles equal)?
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The mirror box
Light rays bounce off mirrored walls of a square before reaching one of the other corners. What are the slopes of the light rays leaving A that land in one of the corners B or D after exactly k=5 reflections?
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Dancing squares
Four squares and one centre. Prove that the red quadrilateral is a parallelogram.
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A central angle
One blue and two congruent red squares. The shown point is the red square centre. What is the angle α?
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Pines and sky
Show that the light blue area is the same as the dark green area.