Categories
Intermediate

Napoleon strikes again

Three equilateral triangles and two line segments. Prove that the three red points are collinear.

Categories
Intermediate

An equitable portion

A square, its diagonals and a right triangle. What fraction is green?

Categories
Beginner

The leftward lean

Two triangles form a quadrilateral. What’s the total orange area?

Categories
Advanced

The new moon

A circle with two tangents, two chords and a secant. Prove that red and green are parallel.

Categories
Intermediate

The wedge

A trapezium with its inscribed circle. Two tangency points are shown. What’s red / blue – yellow / green?

Categories
Intermediate

The fish trap

Two intersecting circles and two common tangents. Prove that α = β.

Categories
Intermediate

Eternal snow

A triangle with two angle bisectors. What fraction of its area is green?

Categories
Beginner

The green deal

Three squares, one of which has a side length of 2. What is the green area?

Categories
Intermediate

Lines in the sand

Two intersecting circles and four chords. Prove that the red chords are parallel.

Categories
Beginner

The high seas

A rectangle containing four triangles. What is the total area?