Question

question 5 of 10
the segments shown below could form a triangle.
a
c
b
1
a
9
9
c
b
a. true
b. false

Explanation:

Step1: Recall triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\), the following must hold: \(a + b>c\), \(a + c>b\), \(b + c>a\). Let \(a = 9\), \(b = 9\), \(c = 1\).

Step2: Check the inequalities

• \(a + b=9 + 9=18>1=c\)
• \(a + c=9+1 = 10>9=b\)
• \(b + c=9 + 1=10>9=a\)

Answer:

A. True