Q: An equilateral triangle is a special case of an isosceles triangle?

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Not ... exactly. It would be closer to accurate to say that an equilateral triangle is a special case of the isosceles triangle.All equilateral triangles are (also) isosceles; but most isosceles triangles are not equilateral.

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An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com

Yes - if you define an equilateral triangle as one in which at least two sides are equal.

Every isosceles triangle. An equilateral triangle is a special case of an isoceles triangle

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Of an isosceles triangle, yes.

Not ... exactly. It would be closer to accurate to say that an equilateral triangle is a special case of the isosceles triangle.All equilateral triangles are (also) isosceles; but most isosceles triangles are not equilateral.

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An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com

Yes - if you define an equilateral triangle as one in which at least two sides are equal.

Every isosceles triangle. An equilateral triangle is a special case of an isoceles triangle

Yes. In this case, the isosceles triangle would more specifically be an equilateral triangle - this can be considered a special case of an isosceles triangle.

NO but every Equilateral triangle is an Isosceles triangle. That is the difference . Isosceles triangles have only 2 sides the same length. Equilateral have ALL 3 sides the same length which means that they must have 2 sides the same length, so they are a very special case of an Isosceles triangle. That is why they have a special name - Equilateral meaning 'all sides equal'. The word lateral is a reference to the word length.

The special thing about an equilateral triangle is that all sides are the same length and all three angles are 60 degrees. It is a special case of the isosceles triangle.

An equilateral triangle can also be called a "regular" triangle

No because an equilateral triangle has 3 equal sides whereas an isosceles triangle has only 2 equal sides

An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.