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

Answer:neverStep-by-step explanation:To Find :An equilateral triangle is a right triangle.               1. always               2.sometimes               3.neverSolution :Definition of equilateral triangles: a triangle having all sides equal in lengthSince 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