Consecutive Isosceles Decomposition

Some isosceles triangles can be decomposed into a family of isosceles triangles with bases on the legs of the base triangle. Determine for which apex angle such a decomposition is possible.

What if applet does not run?

Solution

Interestingly, there is a different kind of decomposition of an isosceles triangle into four isosceles triangles that holds for all apex angles that do not exceed 60°. The construction is the same for all such angles.

|Contact| |Front page| |Contents| |Geometry| |Up|

Copyright © 1996-2018 Alexander Bogomolny

71471551