A cyclic quadrilateral has side lengths a, c, j, and k. Three segments drop perpendicularly to two sides and one diagonal of the quad, forming the green and purple triangles between them. What is the ratio purple/green, in terms of a, c, j, k?
A triangle with sides of length a and c is divided by a cevian of length b. What is brown : yellow in terms of a, b and c?
Two concentric circles and three tangent line segments. If the perimeter of triangle ABC is p, what is the red area?
Two squares, one of which has an extended side. What is orange : purple?
Three overlapping congruent rectangles of area X. What is purple-yellow+2*green?
Three equilateral triangles enclose three interior triangles that share a common angle size α. The outer triangles have areas s1, s2, and s3, the inner have areas t1, t2, t3. Express the ratio t1: t2: t3 in terms of s1, s2, s3.
Two rectangles inside an equilateral triangle. What fraction is red?
Five tangent circles and a chord. What is the area X of the red ball?
A wreath is constructed from numerous pieces regular 10-gons, leaving the red section in the middle. What is the ratio red : green.
Three squares and two diagonals. What is orange : blue?
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