Question

question 9 of 10
the segments shown below could form a triangle.
a. true
b. false

Explanation:

Step1: Recall Triangle Inequality

For three segments to form a triangle, the sum of any two sides must be greater than the third side. Let the side lengths be \(a = 7\), \(b = 7\), \(c = 1\).

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

\(7 + 7 = 14\), and \(14 > 1\).

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

\(7 + 1 = 8\), and \(8 > 7\).

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

\(7 + 1 = 8\), and \(8 > 7\).
Since all three triangle inequality conditions are satisfied, the segments can form a triangle.

Answer:

A. True