Question

can the sides of a triangle have lengths 4, 5, and 8? yes 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 the three inequalities

1. Check \(4 + 5\) vs \(8\): \(4+5 = 9>8\).
2. Check \(4 + 8\) vs \(5\): \(4 + 8=12>5\).
3. Check \(5 + 8\) vs \(4\): \(5 + 8 = 13>4\).

Answer:

yes