Question

1. choose the correct answer.

1.
4 cm
2.
8 cm
3.
7 cm
the set of line segments ____ meet the requirements to form a triangle.
○ does not
○ does

Explanation:

Step1: Recall Triangle Inequality

For three lengths \(a\), \(b\), \(c\) (where \(c\) is the largest), the triangle inequality states \(a + b>c\), \(a + c>b\), \(b + c>a\). Here, lengths are \(4\) cm, \(7\) cm, \(8\) cm (largest is \(8\)).

Step2: Check \(4 + 7>8\)

Calculate \(4 + 7 = 11\), and \(11>8\). Also, \(4 + 8>7\) (\(12>7\)) and \(7 + 8>4\) (\(15>4\)). All inequalities hold.

Answer:

does