Question

teacher:stirewalt class:1st period math 2 spring 2025 lee4tvsp student belcher, cash can a triangle have sides 3 ft, 5 ft, 4ft? 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 \(a = 3\), \(b = 4\), and \(c = 5\).

Step2: Check first inequality

\(a + b=3 + 4 = 7>5\).

Step3: Check second inequality

\(a + c=3+5 = 8>4\).

Step4: Check third inequality

\(b + c=4 + 5=9>3\).
Since all three inequalities hold, a triangle can have side - lengths 3 ft, 4 ft, and 5 ft.

Answer:

yes