Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?

(1 point)
Responses

Robert is correct as long as the other two angles are acute and all of the sides are the same length.

Robert is correct as long as the other two angles are acute and all of the sides are the same length.

Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.

Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.

Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.

Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.

Jonas is correct because equilateral triangles have one right angle and two sides the same length.

1 answer

Jonas is correct because an equilateral triangle has 3 equal angles, and all of these angles are equal to 60 degrees, which are acute angles. Therefore, it is impossible to draw an obtuse equilateral triangle, as obtuse angles are greater than 90 degrees. An equilateral triangle, by definition, has all sides of the same length and all angles equal.