A triangle with sides a, b, c, when extended to whiskers of opposite side length, forms the “Conway Circle”. What is the area of the circle in terms of the expressions a+b+c, ab+bc+ca, abc of the side lengths a, b, c.
Two squares sharing a vertex and two overlapping coloured quadrilaterals from square side midpoints. What is the area proportion of the blue and the red quadrilateral?
Two squares and a rectangle. Prove that red = blue.
What is the area of a green quadrilateral that fits inside a quarter circle, and has perpendicular diagonals?
A square is divided in four triangles of which the red centroids are shown. What fraction is green?
Two squares and one extended side. What is purple : red?
Two rectangles are positioned with the side of each one along the diagonal on the other. Furthermore, two of their sides have the same length, as marked. What is the quotient of areas (A+B)/(C+D)?
Five congruent brown triangles inside a rectangle. What fraction is brown?
Four similar triangles make up a large triangle. Express red in terms of green and yellow.
A square containing two semicircles. The red line segment is a common tangent. What fraction is green?