A square contains a right triangle. What fraction is orange?
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Orange above
Tag: area
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Four to twelve
A regular dodecagon and a square share two vertices. What is the area proportion square : dodecagon?
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The triangular tiling
A rectangle is divided into four similar triangles. What fraction is blue?
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The righteous four
Four rectangles. The green and red rectangle are similar. What’s the area proportion of the orange and the blue rectangle?
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The mahogany triangle
A square contains an isosceles triangle with an extended altitude. What fraction is mahogany?
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Eight corners
A regular octagon with two diagonals and two squares. What’s the area proportion of the blue to the red square?
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The crown jewel
A regular dodecagon and three equilateral triangles. What’s the proportion purple : green?
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The bear trap
A semicircle with two tangents and a perpendicular line segment from a tangency point. What is the blue area in terms of lengths a and b?
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The oppressed minority
A square with two inscribed squares. What is the maximal proportion green : blue?
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Ceteris paribus
Three circles with their centres and a triangle ABC. Given that D is the midpoint of BC, prove that quadrilateral ABEF and triangle ECF have both equal perimeter and equal area.