A square, its diagonals and a right triangle. What fraction is green?
Category: Intermediate
The wedge
A trapezium with its inscribed circle. Two tangency points are shown. What’s red / blue – yellow / green?
The fish trap
Two intersecting circles and two common tangents. Prove that α = β.
Eternal snow
A triangle with two angle bisectors. What fraction of its area is green?
Lines in the sand
Two intersecting circles and four chords. Prove that the red chords are parallel.
The same channel
Two circles and two common tangents. Prove that the blue triangle is isosceles.
Le Petit Nicolas
Two parallel squares with four line segments connecting opposing vertices. Prove that they pass through a single point.
Emerging from water
Two squares and an extended side. What’s red : green : pink?
The secret document
One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?
An irregular tiling
A triangle divided by three line segments. What fraction is blue?