![]() Yes an equilateraltriangle is an isosceles triangle - for each of the three possible pairs of sides. The standard way these things are handled in math is to treatdefinitions in an inclusive sense. The definition you gave is better because it is explicit.ĭoes your text give a definition of a rectangle? Is a square also a rectangle? An equilateral triangle has two congruent sides, in fact it has three. Thus a triangle with all sides congruent is both isosceles and equilateral.Įven if the definition were worded "An isosceles triangle is a triangle with two congruent sides" I would say that an equilateral triangle is also an isosceles triangle. With your definition it is explicit that any triangle with at least two congruent sides is isosceles. The dictionaries that I looked in defined isosceles as "having two equal sides", leaving it to the reader to interpret whether or not this means exactly two. I first want to compliment whoever made the definition that you gave me, "An isosceles triangle is a triangle with at LEAST two congruent sides". The question is, if an isosceles triangle only requires at Least two of the sides to be congruent, could an equilateral triangle be called an isosceles triangle? ![]() The definiton of an isosceles triangle is a triangle with at LEAST two congruent sides. The definition of an equilateral triangle is a triangle with three congruent sides. In defining the types of triangles, our class was stumped by a question asked by one of the student.
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