Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rob wants to draw a triangle with side lengths of 19 inches and 16 inch…

Question

rob wants to draw a triangle with side lengths of 19 inches and 16 inches. which of the following can be the length of the third side? 4 37 38 3

Explanation:

Step1: Apply triangle inequality theorem

Let the sides of the triangle be \(a = 19\), \(b = 16\), and \(c\) be the third side. The triangle - inequality theorem states that \(|a - b|\lt c\lt a + b\).
First, calculate \(a - b\): \(19-16 = 3\).
Then, calculate \(a + b\): \(19 + 16=35\).
So, \(3\lt c\lt35\).

Answer:

4.