It’s complicated

A circle, a semicircle and several triangles. The black points are tangency points. What proportions have the line segments a : r : b?

Scroll down for a solution to this problem.


The proportion a : r : b is 1 : 1 : 1.

Solution by uila making use of previous puzzles.

Proof for the left hand side is identical to that of the right, therefore a = r = b.

🤞 Don’t miss these puzzles!

Subscribe to the weekly geometry puzzle e-mail.

Leave a Reply

Your email address will not be published. Required fields are marked *

Optionally add an image (JPEG only)