Based on the Triangle Inequality Theorem, which of the following types of triangles is possible?(1 point)

Question

Responses

obtuse equilateral
obtuse equilateral
right isosceles
right isosceles
equilateral scalene
equilateral scalene
right equilateral

Answer 1

Based on the Triangle Inequality Theorem, the possible type of triangles from the options provided include:

• Obtuse Equilateral: Impossible because an equilateral triangle has all angles equal to 60 degrees, which cannot be obtuse.
• Right Isosceles: Possible, as a right triangle can have two equal sides, making it isosceles.
• Equilateral Scalene: Impossible, as an equilateral triangle cannot have sides of different lengths (which is the definition of scalene).
• Right Equilateral: Impossible, as an equilateral triangle has all angles equal to 60 degrees, and thus cannot be right-angled.

Based on this analysis, the only possible type of triangle from your options is the right isosceles triangle.