Question

two sides of a triangle are 25 and 25. find the range of possible side lengths for the third side. type your answer as an inequality with appropriate symbols, using x as your variable. type your answer as an inequality like we did in the notes with appropriate symbols, using x as your variable. answer attempt 1 out of 5 additional solution no solution submit answer

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. Let the sides of the triangle be \(a = 25\), \(b = 25\), and \(x\) be the third - side. So \(a + b>x\) and \(|a - b|First, \(a + b>x\) gives \(25+25>x\), which simplifies to \(50>x\) or \(x < 50\).

Step2: Consider the other part of the triangle - inequality

Also, \(|a - b|

Answer:

\(0