Categories
Intermediate

The beehive

Three regular hexagons, one centre and a triangle. What fraction of the total area is orange?

Categories
Beginner

Outside the hive

A regular hexagon and two squares. What’s the angle α?

Categories
Beginner

Egg basket II

What fraction of the regular hexagon is yellow?

Categories
Intermediate

A square deal II

A regular hexagon and a square share a vertex. What’s green : red?

Categories
Beginner

And rightly so

A regular hexagon with a diagonal and a right triangle. What fraction is orange?

Categories
Intermediate

A square deal

A regular hexagon and a square share a vertex. What’s the angle α?

Categories
Intermediate

The seventh bell

A regular hexagon shares a vertex with an equilateral triangle of area 7. What is the area of the hexagon?

Categories
Intermediate

Rising bread

A regular hexagon with a diagonal and a circular arc centred in a side midpoint. What fraction is yellow?

Categories
Beginner

The double bottom

A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?

Categories
Beginner

Going halfway

A regular hexagon contains a diagonal, a green equilateral triangle and a red triangle. Prove that the latter is isosceles.