A rectangle contains a circle wedged between two triangles. What is the circle radius in terms of triangle heights a and b?
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The stuck boulder
Tag: rectangle
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Composition in red, blue and yellow
A rectangle containing red and blue squares and a yellow rectangle. What is the proportion red : (blue+yellow)?
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The kissing circles
A rectangle with three touching quarter circles. What fraction of its area is coloured?
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Twin peaks
A rectangle with three line segments. What is the proportion yellow : red?
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The ocean sunset
A semicircle is inscribed in a rectangle. What is the minimal covered fraction?
Two congruent rectangles and squares. Proof that the four points are on one circle.
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The colour purple
A rectangle is split by two perpendicular lines. The four circles pass through vertices and intersection points. Their centres form a purple quadrilateral. What fraction of the large rectangle area does it cover?
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Between the bars
Two parallel lines support two rectangles. Prove they have equal area.
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The stained glass
Two congruent rectangles are placed side by side. Two line segments form two coloured quadrilaterals and three triangles. What is the proportion purple : green?
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The crazy diamond
Three rectangles and four triangles. Given that the red triangles have equal area, prove that the blue rectangles are similar.