# 60° Breeds 90°: What is this about?

A Mathematical Droodle

|Activities| |Contact| |Content| |Front page| |Geometry|

Copyright © 1996-2018 Alexander BogomolnyThe applet below is supposed to suggest the following problem:

Angle bisectors AF, BG, and CH in ΔABC are drawn. It is known that

Extend AB beyond A to, say, X. Since

(Another solution has been posted elsewhere.)

### References

- D. Fomin, A. Kirichenko,
*Leningrad Mathematical Olympiads 1987-1991*, MathPro Press, 1994, pp. 38, 146-7

|Activities| |Contact| |Content| |Front page| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny67400696