A regular hexagon, a square and an equilateral triangle. Show that the top vertex of the triangle is on the hexagon circumcircle.
Tag: hexagon
Four six four
A regular hexagon and two similar rectangles. What fraction is green?
Six four
A regular hexagon and an inscribed tilted rectangle. What is the angle α?
Ball of yarn
A cyclic hexagon has concurrent cross diagonals. What is the ratio of the product of the orange sides compared to the product of the purple sides. (ace:bdf).
The open roof
A regular hexagon with two line segments at right angles. What is the minimum of yellow : red?
The pumpkin
A regular hexagon and a circle centred in the blue point. What’s the angle α?
Tilted hourglass III
A regular hexagon, a circle through its red centre and two line segments. What’s blue : orange?
The hex division
A regular hexagon with two diagonals and two perpendiculars. What’s red : yellow?
The see-through triangle
A regular hexagon and an equilateral triangle share a vertex. What is red : blue?
Go Orange
A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?