Two unit squares (having side 1) are placed as shown. What is the total perimeter of the two red triangles?
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The Post-it note
Tag: square
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The King’s chamber
A pyramid with a square base and sides that are equilateral triangles contains a cube. If the cube is taking maximum space as shown, what is the fraction of its volume to the pyramid’s volume?
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The green kimono
An equilateral triangle and three squares. What’s the angle?
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The windshield wipers
A square and two rectangles, connected by two circular arcs, form a square. What is the proportion of the orange to the green area?
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The pyramid perspective
Two congruent pyramids placed at different distances from the observer appear as equilateral triangles in a square frame. If the closest one is at 100 meter, how far is the distant pyramid?
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The square peg
A square is fitted into an equilateral triangle as shown. What fraction is shaded?
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The askew envelope
In a square, an interior point is drawn with an angle to the top vertices of 120°. What’s the angle between the chords formed by the two arcs centered in these vertices?
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The fishing net
Two squares and two equilateral triangles. What fraction is hatched?
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The broken window
A square is divided into triangles and quadrilaterals as shown. What fraction of the square area is covered by the shaded triangle?
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The tilted brick
A rectangle is covering a square such that they share a diagonal and the top side of the square is divided in half as shown. What fraction of the square is covered by the rectangle? And what fraction of the rectangle is covered by the square?