Answer:
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
