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

Question

Responses which is the true correct response

obtuse equilateral
obtuse equilateral

right equilateral
right equilateral

equilateral scalene
equilateral scalene

right isosceles

Answer 1

Based on the Triangle Inequality Theorem, the correct response is right isosceles.

Here's a brief explanation of why:

• Obtuse equilateral: Not possible, as an equilateral triangle cannot have an obtuse angle (all angles must be equal to 60 degrees).

• Right equilateral: Not possible, as an equilateral triangle cannot have a right angle (all angles must be equal to 60 degrees).

• Equilateral scalene: Not possible, as an equilateral triangle by definition has all sides equal, making it not scalene.

• Right isosceles: Possible, as it has two equal sides and contains a right angle (90 degrees), satisfying the Triangle Inequality Theorem.

Thus, the correct answer is right isosceles.