A Math Forum Project

Non-congruent isosceles triangles... - October 1994

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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.]

Winning Solution

Submitted by:

Jovan Milosevic

Daniel Kim

Felix Chang

Grade 11, Burnaby South Secondary School, Burnaby, BC, Canada

Honorable Mention

Submitted by:

Jacob Taylor

Grade 8, Georgetown Day School, Washington, DC

And

Sean Nichols

Grade 11, Burnaby South Secondary School, Burnaby, BC, Canada

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