Question

given 6 and 13 as the lengths of two sides of a triangle, find the range of values for the third side.

Explanation:

Step1: Apply triangle - inequality theorem (lower - bound)

The difference between the two given sides gives the lower - bound of the third side. So, \(13 - 6=7\).

Step2: Apply triangle - inequality theorem (upper - bound)

The sum of the two given sides gives the upper - bound of the third side. So, \(13 + 6 = 19\).

Answer:

\(7