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 broken window
Category: Beginner
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The diagonal dilemma
On two faces of a cube a diagonal is drawn that meet in the same vertex. What’s the angle between them?
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The folded sheet
A rectangular sheet of paper is folded in such a way that two equal angles are formed as shown. What fraction of the resulting quadrilateral is shaded?
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Moon over mountains
A rectangular frame encloses two congruent equilateral triangles and a unit circle. What is difference between width and height of the rectangle?
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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?
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The tilted hourglass
In a square, a diagonal and a line segment cross at the center. They delimit a tilted hourglass. What fraction of the square is shaded?