Question

teacher:stirewalt class:1st period math 2 spring 2025 lee4tvsp student belcher, cash can a triangle have sides 6 ft, 11 ft, 5 ft? type yes or no.

Explanation:

Step1: Recall 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.

Step2: Check side - length combinations

Check \(6 + 5\) and \(11\). We have \(6+5 = 11\), but for a triangle \(a + b>c\), \(a + c>b\) and \(b + c>a\). Here \(6 + 5\) is not greater than \(11\), so a triangle cannot have sides 6 ft, 11 ft, 5 ft.

Answer:

no