A triangle has no congruent sides the lengths of two sides of the triangle are an and bd use the number line above to determine the lengths of an and bd then use the triangle inequality theorem to determine which two segments have

Based on the number line provided, let's assume that "a" is to the left of "b" on the number line, and "d" is to the left of "n".

If the lengths of two sides of the triangle are an and bd, we can see that "an" is longer than "bd" on the number line. This means that "an" is the longest side of the triangle.

Using the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, we can determine which two segments have a triangle.

In this case, "an" and "bd" would not form a triangle, as the sum of their lengths does not exceed the length of the third side. The triangle would be formed by sides "ab" and "ad", as well as "bn" and "dn".