Question

1. choose the correct answer.

1.
3in
2.
1.5in
3.
4in
the set of line segments ____meet the requirements to form a triangle.
○ does not
○ does

Explanation:

Step1: Recall Triangle Inequality

For three lengths \(a\), \(b\), \(c\) to form a triangle, the sum of any two sides must be greater than the third side. Let \(a = 3\) in, \(b = 1.5\) in, \(c = 4\) in.

Step2: Check \(a + b > c\)

Calculate \(3 + 1.5 = 4.5\). Since \(4.5 > 4\), this holds.

Step3: Check \(a + c > b\)

Calculate \(3 + 4 = 7\). Since \(7 > 1.5\), this holds.

Step4: Check \(b + c > a\)

Calculate \(1.5 + 4 = 5.5\). Since \(5.5 > 3\), this holds.
All three triangle inequalities are satisfied.

Answer:

does