A regular hexagon contains a diagonal, a green equilateral triangle and a red triangle. Prove that the latter is isosceles.
Categories
Going halfway
Category: Beginner
Categories
The triskelion
A circle containing an equilateral triangle and three squares. What fraction is purple?
Categories
The consonant squares
Four squares and a rectangle. What’s the angle α?
Categories
The forward lean
A square with a diagonal and an isosceles triangle. What fraction is brown?
Categories
The skewed tree
A triangle with a line segment through its centroid and parallel to a side. What faction is dark green?
Categories
Squaring a rectangle
A regular hexagon, a square and a rectangle. What is the area proportion rectangle : square?
Categories
Orange above
A square contains a right triangle. What fraction is orange?
Categories
Four to twelve
A regular dodecagon and a square share two vertices. What is the area proportion square : dodecagon?
Categories
The triangular tiling
A rectangle is divided into four similar triangles. What fraction is blue?
Categories
Easing it down
Three squares share three vertices. What’s the angle α?