Anequilateral trianglecannot have anobtuse angle. In fact, the anglesareall "fixed" -they areeach 60 degrees. It is impossible to create an obtuse equilateral triangle.The word 'equilateral' means equal sides. An equilateral triangle is one that has three equal sides and, subsequently, three equal angles. The angles are each 60 degrees and, when added together, add up to 180 degrees.An obtuse angle is an angle greater than 90 degrees and less than 180 degrees. Thus, an equilateral triangle cannot have an obtuse angle because the angles must all be the same degrees and the sum of the angles cannot exceed 180 degrees. If an obtuse angle could be used in an equilateral triangle, this would mean that all the angles would be, at least, 90 degrees. In turn, it would mean that the sum of the angles far exceeds 180 degrees, with the sum being a minimum of 270 degrees. It's just not possible.

yes, we think it is possible to sketch an obtuse angled equilateral triangle.