Question

question 1 (1 point)
a = 6
b = 14
c = 5
can these side lengths form a triangle?
a yes
b no

Explanation:

Step1: Recall Triangle Inequality Theorem

The triangle inequality theorem states that for three side lengths \(a\), \(b\), and \(c\) to form a triangle, the sum of any two sides must be greater than the third side. So we need to check three inequalities: \(a + b>c\), \(a + c>b\), and \(b + c>a\). Here, \(a = 6\), \(b = 14\), and \(c = 5\).

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

Calculate \(a + c\): \(6+5 = 11\). Now compare with \(b = 14\). Since \(11<14\), the inequality \(a + c>b\) is not satisfied.

Answer:

b. No