Two squares of area D and J share a vertex while the circle passes through four other vertices. What is the area of the latter in terms of D and J?
A parabola is tangent to two sides of a square and to the hypotenuse of an isosceles triangle. The three tangency points are shown. What fraction of the square is green?
A regular hexagon with an equilateral triangle sharing a vertex and having a vertex somewhere along the opposite side. What is the maximum length of line segment g?
Two overlapping congruent isosceles triangles. What fraction of the total area is green?
An isosceles triangle with an inscribed square and three triangles. What is the proportion black : red?
Two equilateral triangles share a vertex. What is the area of their overlap region?
Three circles are inscribed in a rectangle. What is the area X in terms of A and B?
Four equilateral triangles inscribed in a fifth one. What fraction of the latter is coloured?
Two rods of length x and y are connected by two strings with a knot exactly halfway. The rods are placed parallel both with uncrossed and crossed strings. The distance between the knots is measured as a and b respectively. Express x and y in terms of a and b.
A square contains a triangle. What fraction of the square is red?