Question

can the sides of a triangle have lengths 18.3, 16.5, and 5.3? 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 \(18.3+16.5>5.3\).
\(18.3 + 16.5=34.8\), and \(34.8>5.3\).

Step3: Check second combination

Check if \(18.3 + 5.3>16.5\).
\(18.3+5.3 = 23.6\), and \(23.6>16.5\).

Step4: Check third combination

Check if \(16.5+5.3>18.3\).
\(16.5 + 5.3=21.8\), and \(21.8>18.3\).

Answer:

yes