Question

can the sides of a triangle have lengths 9, 11, and 19? 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 first combination

Check if \(9 + 11>19\). Calculate \(9 + 11 = 20\), and \(20>19\).

Step3: Check second combination

Check if \(9+19 > 11\). Calculate \(9 + 19=28\), and \(28>11\).

Step4: Check third combination

Check if \(11 + 19>9\). Calculate \(11+19 = 30\), and \(30>9\).

Answer:

yes