Questions: Equilateral Triangle:

Solution Steps

To determine the type of triangle based on the given side lengths, we need to:

1. Check if all three sides are equal for an equilateral triangle.
2. Check if exactly two sides are equal for an isosceles triangle.
3. Check if all three sides are different for a scalene triangle.

To determine if a triangle is equilateral, we check if all three sides are equal: \[ a = b = c \]

To determine if a triangle is isosceles, we check if exactly two sides are equal: \[ a = b \quad \text{or} \quad b = c \quad \text{or} \quad a = c \]

To determine if a triangle is scalene, we check if all three sides are different: \[ a \neq b \neq c \]

Final Answer