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# Tag Archives: tetrahedron

## Non-Congruent Triangles

Among the triangles of the previous problem (repeated below), how many distinct (non-congruent) triangles exist? Previous Problem: How many distinct triangles can be constructed by choosing three vertices from among the corners of a unit cube? Source: NCTM Mathematics Teacher, … Continue reading

Posted in Problem solving
Tagged cubes, geometry, grade 8, NCTM Mathematics Teacher, spatial reasoning, spatial visualization, tetrahedron, triangle
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## Distinct Triangles

How many distinct triangles can be constructed by choosing three vertices from among the corners of a unit cube? Source: NCTM Mathematics Teacher, February 2008 Solution We construct four triangles from three corners of a face for a total of … Continue reading

Posted in Problem solving
Tagged 3D, combinatorics, counting, cubes, diagonal, geometry, grade 8, NCTM Mathematics Teacher, spatial reasoning, spatial visualization, tetrahedron, triangle
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