Question

problem 7:
the lengths of two sides of a triangle are 4 and 1. find the lengths that the third side must be greater than and less than.
after you enter your answer press go.
greater than
and less than

Explanation:

Step1: Apply triangle - side relationship

Let the lengths of the sides of the triangle be \(a = 4\), \(b = 1\), and \(c\) be the third side. According to the triangle - side relationship: \(|a - b|\lt c\lt a + b\).

Step2: Calculate the lower and upper bounds

First, calculate \(|a - b|\): \(|4 - 1|=3\). Then calculate \(a + b\): \(4+1 = 5\).

Answer:

Greater than \(3\) and less than \(5\)