Question

question 9 of 10
the segments shown below could form a triangle.
a
c
b
9
4
15
c
b
a
a. true
b. false

Explanation:

Step1: Recall the triangle inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let the side lengths be \(a = 4\), \(b=9\), and \(c = 15\).

Step2: Check the three inequalities

• Check \(a + b>c\): \(4+9=13\), and \(13<15\).
• Since one of the inequalities (\(a + b>c\)) fails, we don't need to check the other two inequalities (\(a + c>b\) and \(b + c>a\)) as per the triangle - inequality theorem.

Answer:

B. False