Show equality of the green and orange square playing field areas.
Tag: pentagon
Folding a pentagon
One side of a regular pentagon is folded back and forth as shown. Are the six red line segments congruent?
The telescope
The odd regular polygons are stacked together, in increasing order, zigzagging to form a telescope that extends forever! What is the limiting angle (with respect to the horizontal) at which the telescope points?
Outside the pentagon
A regular pentagon and two coloured equilateral triangles. What is the angle α?
The pentagon proportion
A regular pentagon and a circular arc through its red centre. What’s the proportion α : β?
The crosshairs
A regular pentagon and two semicircles. Prove that they are orthogonal, i.e. the tangents in the intersection point are orthogonal.
The vanilla ice cream
A regular pentagon with two extended sides and a right angle. What is blue : green?
Yeah, right!
A regular pentagon with three line segments. What’s the angle α?
It’s all right II
A regular pentagon and a right triangle. What’s the angle α?
Fives and six
Two regular pentagons and a circle through four vertices and two intersection points. What is is the green overlap fraction?