Question

question 5 (1 point)
can the sides of a triangle have lengths 2.1, 6.6, and 9.6?

yes
no

a yes
-b no

Explanation:

Step1: Recall triangle inequality theorem

The triangle inequality theorem states that for any triangle with side lengths \(a\), \(b\), and \(c\), the sum of the lengths of any two sides must be greater than the length of the remaining side. Mathematically, this means \(a + b>c\), \(a + c>b\), and \(b + c>a\).

Step2: Identify the sides

Let \(a = 2.1\), \(b = 6.6\), and \(c = 9.6\).

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

Calculate \(a + b\): \(2.1+6.6 = 8.7\). Now compare with \(c = 9.6\). Since \(8.7<9.6\), the inequality \(a + b>c\) is not satisfied.

Answer:

b. No