Question

question 5 of 10 the segments shown below could form a triangle. c a b 1 c 7 7 b a a. true b. false

Explanation:

Step1: Recall triangle - inequality theorem

For three side - lengths \(a\), \(b\), and \(c\) of a triangle, the following three inequalities must hold: \(a + b>c\), \(a + c>b\), and \(b + c>a\). Let \(a = 1\), \(b = 7\), and \(c = 7\).

Step2: Check the first inequality

\(a + b=1 + 7=8>7 = c\).

Step3: Check the second inequality

\(a + c=1+7 = 8>7 = b\).

Step4: Check the third inequality

\(b + c=7 + 7=14>1 = a\).

Answer:

A. True