Question

1. choose the correct answer.

1.
6 cm
2.
9.5 cm
3.
2.5 cm
the set of line segments ____meet the requirements to form a triangle.
○ does not
○ does

Explanation:

Step1: Recall triangle inequality theorem

For three lengths \(a\), \(b\), \(c\) to form a triangle, the sum of any two sides must be greater than the third side. Let the sides be \(a = 6\) cm, \(b = 9.5\) cm, \(c = 2.5\) cm.

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

Calculate \(a + c = 6 + 2.5 = 8.5\) cm. Compare with \(b = 9.5\) cm. Since \(8.5 < 9.5\), the sum of two sides is less than the third side.

Answer:

does not