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Problem of the Week 867

Isosceles Pairs

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Which triangles can be split into two isosceles triangles?

(Source: Bo Green, Abilene Christian University, Abilene, Tex.)

I am sure there is a company that builds a device that can drill square holes. I have seen a flier for the device, but I not know the name of the company. I think it is in Pennsylvania. If anyone knows anything about this, please let me know, as a local firm is interested in a drill to make square holes. The device is based on a Reuleaux triangle.

© Copyright 1998 Stan Wagon. Reproduced with permission.

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2 October 1998