Q: An equilateral triangle is always an isosceles triangle?

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If an isosceles triangle is defined as one which has two sides (or angles) equal, then YES. But if an isosceles triangle is defined as one which has two sides (or angles) equal, and the third side (angle) different, then NO.

An isosceles triangle has two congruent sides, and An equilateral triangle is a special isosceles triangle in which all three sides are congruent.Therefore, all equilateral triangles are isosceles

In an equilateral triangle: 3 In an isosceles triangle: 1 In a scalene triangle: 0

The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.

Any isosceles triangle which is not also an equilateral triangle. An equilateral triangle would have three.

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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

sometimes, but not always

Are isosceles triangle sometimes an equilateral triangle

If you can only prove two sides of an apparently equilateral triangle to be congruent then you have to use isosceles.

An Isosceles triangle has at least one line of symmetry but if it has more than one line of symmetry it can be an Equilateral triangle as well as a Isosceles Triangle. So a triangle with one line of symmetry is always Isosceles and If it has more than one it is always an Equilateral triangle as well as an Isosceles triangle. Example of an Isosceles triangle:

It can be scalene or isosceles but not equilateral.

The contrapositive would be: If it is not an isosceles triangle then it is not an equilateral triangle.

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

No because they are different types of triangles inasmuch that an equilateral triangle has 3 equal sides whereas an isosceles triangle has only 2 equal sides

An equilateral triangle has all sides measuring the same and an isosceles triangle has 2 sides congruent, so they are not the same. Every equilateral triangle is also an isosceles triangle, but not every isosceles triangle is an equilateral triangle. Isosceles = at least two equal sides Equilateral = three equal sides

An isosceles triangle is one that has two sides of the same length and one side different An equilateral triangle is one that has all of its sides of equal length. All of the angles on an equilateral triangle are 60 degrees. A triangle with two sides 4cm and one side 100m would be an isosceles. But an equilateral triangle has all of the sides exactly the same so therefore an isosceles triangle can never ever be an equilateral triangle

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.