Question

describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 25 meters and 25 meters

Explanation:

Step1: Apply triangle inequality theorem

The triangle inequality theorem states that for any triangle with side lengths \(a\), \(b\), and \(c\), the following must hold: \(|a - b|\lt c\lt a + b\). Here \(a = 25\) and \(b=25\).

Step2: Calculate the lower - bound

First, find \(|a - b|\). Since \(a = 25\) and \(b = 25\), \(|25 - 25|=0\).

Step3: Calculate the upper - bound

Then, find \(a + b\). \(25+25 = 50\).

Answer:

\(0\) m \(