Question

teacher:stirewalt class:1st period math 2 spring 2025 lee4tvsp student gentry, holden a triangle has two sides of length 35 and 19. what is the smallest possible whole - number length for the third side?

Explanation:

Step1: Recall triangle - inequality theorem

The difference between two sides of a triangle must be less than the third side. Let the sides of the triangle be \(a = 35\), \(b = 19\), and \(c\) be the third - side. Then \(|a - b|\lt c\).

Step2: Calculate the difference

\(35−19 = 16\). Since \(c\) is a whole number and \(c>16\), the smallest whole - number value for \(c\) is \(17\).

Answer:

17