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Geometry Project of the Month

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On an 11 by 11 geoboard (or an 11 by 11 dot paper lattice), find all non-congruent isosceles triangles whose axis of symmetry is neither horizontal, nor vertical, nor at a 45 degree angle from horizontal. State your solution by giving the length of the sides of the triangles you find. What techniques did you use to find the answers?

[Thanks to Henri Picciotto, hot@SOE.Berkeley.Edu, for contributing this problem.]

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The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.
3 July 1995