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Can an equilateral triangle also be isosceles?

Can an equilateral triangle also be isosceles?

Answer 1:
Yes; in fact an equilateral triangle must be isosceles.

Explanation:
The definition of an isosceles triangle is that two of its sides have equal lengths; the case where all three sides have equal lengths is not excluded.

The definition of an equilateral triangle is that all three sides are of equal length; therefore any two sides are of equal length; and, therefore an equilateral triangle is isosceles.

Answer 2:
See below.

Explanation:
So before we start answering the question, let start by listing the properties of both equilateral and isosceles triangle.
Can an equilateral triangle also be isosceles Img 1
Equilateral triangle:
– All sides are the same length
-All angles have the same measurement
Can an equilateral triangle also be isosceles Img 2
Isosceles Triangle:
-2 sides have the same length
– 2 angles have the same measurement

An equilateral triangle can be an isosceles triangle IF one of the sides has a different length than the rest and the angle measurement is different.

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