How does the average of the areas of the blue and green squares compare with the area of the purple square?
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How does the average of the areas of the blue and green squares compare with the area of the purple square?
Given green and blue discs, construct a red region so that for every ray leaving L stays in the blue region exactly as long as it does in the pink region. (Namely, KM = OL.)
A quarter circle with a right triangle. Prove that the red point is the incentre of this triangle.
Five squares and a diagonal. What fraction of the largest square is coloured?
Six squares are placed as shown. What’s the angle α?
Two intersecting circles. Express the lengths b and the common tangent d in terms of c (the distance between the centres) and the angles β and γ.