A regular pentagon and its circumcircle. What is blue : orange?
Categories
Pentagon pleasure II
Tag: pentagon
Categories
Pentagon offspring II
Two regular pentagons, one of which has an extended side. What’s the angle α?
Categories
The happy couple
Two regular pentagons share a vertex. What’s the angle α?
Categories
Tipping point II
Two regular pentagons share a vertex. What’s the angle α?
Categories
Ice cream cone II
Two regular pentagons sharing a vertex with extended sides and diagonals. Proof that the three red points are collinear.
A square and a regular pentagon share a vertex. What’s the angle α?
Categories
Outside the pentagon II
A regular pentagon and two equilateral triangles. What’s the angle α?
Categories
Staying in line
Three squares and a regular pentagon. Prove that the three red vertices are collinear.
Categories
Pentagon pleasure
Two regular pentagons. The centre of the large one is a vertex of the small one. What is yellow : green?
Categories
Pentagon divided
Given a pentagon ABCDE, construct the points T,R,Q,U such that the segments AT, AR, AQ, and AU divide the pentagon into five equal area pieces. (Using straight edge and compass. But you may divide a segment into a number of equal segments for free.)