Question

a triangle has two sides of length 15.1 and 10.3. what compound inequality describes the possible lengths for the third side, x? write a compound inequality like 1 < x < 3.

Explanation:

Step1: Apply 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. So \(x<15.1 + 10.3\) and \(15.1

Step2: Simplify the inequalities

First, \(x<15.1+10.3=25.4\). Second, from \(15.115.1 - 10.3=4.8\).

Answer:

\(4.8