A square contains an isosceles triangle with an extended altitude. What fraction is mahogany?
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A square contains an isosceles triangle with an extended altitude. What fraction is mahogany?
A regular octagon with two diagonals and two squares. What’s the area proportion of the blue to the red square?
A regular dodecagon and three equilateral triangles. What’s the proportion purple : green?
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?
A square with two inscribed squares. What is the maximal proportion green : blue?
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.
Three squares share three vertices. What’s the angle α?