0

# How is an equilateral triangle an isosceles triangle?

Updated: 11/4/2022

Wiki User

โ 8y ago

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.

Wiki User

โ 8y ago

Earn +20 pts
Q: How is an equilateral triangle an isosceles triangle?
Submit
Still have questions?
Related questions

### Are isosceles triangle sometimes an equilateral triangle?

Are isosceles triangle sometimes an equilateral triangle

### Is a right triangle an equilateral scalene or isosceles triangle?

It can be scalene or isosceles but not equilateral.

### What is the contrapositive of the statement if it is an equilateral triangle then it is an isosceles triangle?

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

### Are All equilateral triangles are isosceles.?

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

### Is an equilateral triangle equal to an isosceles triangle?

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

### Is isosceles triangle also an equilateral triangle?

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

### A isosceles triangle is a special type of 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.

### How is an isosceles triangle different from an equilateral triangle?

Isosceles has 2 equal sides, but an equilateral triangle, all of its sides are equal.

### Is an equilateral triangle a isosceles triangle?

No. An equilateral triangle is where all three sides of the triangle are equal. An isosceles triangle is where only two of the sides are equal.

No

No.

### If it is an equilateral triangle then it is an isosceles triangle?

Let us recall the definition of an isosceles triangle. An isosceles triangle is a triangle with two equal or congruent sides. In this definition, it is not stated that it has exactly two equal sides. An equilateral triangle has three equal or congruent sides. If it has three equal sides, then it must have two equal sides. Therefore, an equilateral triangle is considered as an isosceles triangle. But, an isosceles triangle is not necessarily an equilateral triangle.