![]() Isosceles and Scalene triangles are disjoint sets-they don't overlap at all because a triangle can never be both isosceles and scalene. If you have no sides the same length, however, you can never have two sides the same length, so we can show the relationships between equilateral, isosceles and scalene triangles this way:Įquilateral triangles are a subset of isosceles triangles, because every equilateral triangle is also isosceles (though some isosecles triangles are equilateral and some are not). Notice that if you have all 3 sides the same length, you automatically have at least 2 sides the same length. ![]() Obtuse triangles have one angle that measures more than 90° Right triangles have one angle that is equal to 90°Īcute triangles have all 3 angles less than 90° The second 3 are defined by angle properties: Isosceles triangles have at least 2 sides the sameĮquilateral triangles have all 3 sides the same Scalene triangles have all 3 sides different lengths The first 3 are usually defined by side length properties: ![]() There are 6 special named types of triangles: scalene triangles, isosceles triangles, equilateral triangles, right triangles, acute triangles, and obtuse triangles. Most of this work with triangles is appropriate for students grades 3 and above. ![]() This set of problems shows the sorts of thinking we want students to develop to be ready for High school math. This discussion is aimed at a Van Hiele level 1-2 understanding, and thus is fairly sophisticated for elementary students. ![]()
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