Determine if the statement is always, sometimes, or never true: an equilateral triangle is a right triangle. always sometimes never

never

Step-by-step explanation:

To Find :An equilateral triangle is a right triangle.

              1. always

              2.sometimes

              3.never

Solution :

Definition of equilateral triangles: a triangle having all sides equal in length

Since all sides are equal so by property of triangle (angle opposite to equal sides are equal ) so, all angles are equal .

If equilateral triangle is right angle then one of its angle is of 90°

And in equilatera triangle all angles are equal so all angles must be of 90°

We know that triangle sum property is : Sum of all angles of triangle is equal to 180°

So, 90°+90°+ 90° =180°

⇒270°≠180°

since this violates the angle sum property of triangle .

Thus an equilateral triangle can never be a right triangle

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