# 60° Breeds 90°: What is this about?

A Mathematical Droodle

4 November 2015, Created with GeoGebra

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Copyright © 1996-2017 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

4 November 2015, Created with GeoGebra

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

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Copyright © 1996-2017 Alexander Bogomolny62069756 |