A circle with its centre and three triangles consisting of chords and radii. Express area X in terms of A, B and α.
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Kazakov triangles
Tag: area
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Brick oven II
A rectangle inside a square. What fraction is yellow in terms of x?
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Spiegel im Spiegel II
A square containing a square with two extended sides. What is the blue fraction?
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In and out II
A couloured triangle and rectangle with extended sides and two circles. Prove that the triangle and the rectangle have equal areas.
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Side touches
Four triangles in a rectangle. The three red triangles have equal areas. What is blue : red?
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Centre of attraction III
Three congruent squares and an equilateral triangle. What is blue : orange?
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Communicating vessels
A semicircle and two squares. What is the blue area in terms of a and b?
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Equal partition
A rectangle and a square with an extended side. Prove that their areas are equal.
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Crossing straps
Every side of a quadrilateral is divided into three equal parts. What is purple : orange?
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Tumbling down
Three squares and a red quadrilateral. What is the red area?