I have noticed that there is no real "convention" about the question of whether isosceles are defined to have 2 equally long sides, orat least2 equally long sides. Several websites I went to have contradicted each other. Any ideas?

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- Apr 10th 2010, 03:22 PMmathemagisterAre equilateral triangles isosceles?
I have noticed that there is no real "convention" about the question of whether isosceles are defined to have 2 equally long sides, or

**at least**2 equally long sides. Several websites I went to have contradicted each other. Any ideas? - Apr 10th 2010, 04:11 PMArchie Meade
Yes,

if you start with a horizontal line,

then raise the midpoint above it to form an isosceles triangle of any height,

the angles at both ends of the base go from zero to 90 degrees,

as the triangle goes from a horizontal line to a vertical line.

Somewhere between those extremes, the isosceles triangle is also equilateral. - Apr 11th 2010, 05:12 AMmathemagister