Question

can the sides of a triangle have lengths 8, 15, and 18? 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 \(8 + 15>18\). Calculate \(8 + 15=23\), and \(23>18\).

Step3: Check second combination

Check if \(8+18 > 15\). Calculate \(8 + 18=26\), and \(26>15\).

Step4: Check third combination

Check if \(15 + 18>8\). Calculate \(15+18 = 33\), and \(33>8\).

Answer:

yes