Question

can a triangle have sides 6 ft, 11 ft, 5 ft? type yes or no.

Explanation:

Step1: Recall triangle - inequality theorem

For a triangle with side lengths \(a\), \(b\), and \(c\), the following three inequalities must hold: \(a + b>c\), \(a + c>b\), and \(b + c>a\).
Let \(a = 6\), \(b = 11\), and \(c = 5\).

Step2: Check the inequalities

Check \(a + c>b\): \(6+5 = 11\), but for a triangle \(a + c\) must be strictly greater than \(b\). Here \(6 + 5=11\) which does not satisfy the triangle - inequality theorem. So a triangle cannot have sides 6 ft, 11 ft, 5 ft.

Answer:

no