Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?
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The honeycomb
Tag: square
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The folded napkin
A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?
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Together we stand
Two squares sharing a vertex. What’s the angle α?
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The pleasure dome
A semicircle with three squares. The areas of the smaller squares are given. What is the area of the biggest one?
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Triple dice
An equilateral triangle with three congruent squares. What’s the angle α?
Two congruent rectangles and squares. Proof that the four points are on one circle.
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The satellite
A circle containing three squares. What fraction is coloured?
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The Lion King II
A regular hexagon and three squares. What is the proportion yellow : brown?
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The dangling square
Four squares and five shared vertices. If the orange area is 4, what is the green area?
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The yellow sailboat
A square, two equilateral triangles and an extended side. What is the proportion yellow : blue?