Triangle Side Analysis: Is an 8-8-5 Triangle Scalene?

Given the values of the sides of a triangle, is it a triangle with different sides?

To solve this problem, we will examine the side lengths of the triangle:

• Step 1: Identify each side: $a = 8$, $b = 5$, $c = 8$.
• Step 2: Compare the sides:

$a = c$ because both sides are $8$ units. This means side $a$ is equal to side $c$.

This information indicates that the triangle is not scalene because at least two sides are equal.

Therefore, the triangle is not a triangle with all different sides. It is an isosceles triangle because it has exactly two equal sides.

The correct response to the question "Given the values of the sides of a triangle, is it a triangle with different sides?" is No.