Susan L. answered • 11/05/13
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The terms isosceles and equilateral identify how many sides and how many angles are equal in a triangle so no, you would not use both terms for one triangle.
An isosceles triangle has two equal sides and two equal angles.
An equilateral triangle has three equal sides and three equal angles.
Susan L.
Talking with some math professors you could use an inclusive definition for an isosceles triangle which is a triangle that has at least two sides equal in which case that would include an equilateral triangle
as an isosceles triangle. This is similar to a square also being a rectangle.
And so as mentioned for the angles being a theorem where the angles opposite the equal sides being equal would apply to both.
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11/06/13
Michael F.
11/06/13