Question

the value of x must be greater than ____. 0 1 3 7

Explanation:

Step1: Apply triangle - inequality theorem

In a triangle, the difference between the lengths of any two sides is less than the length of the third side. Let the sides of the triangle be \(a = 12\), \(b = 15\), and \(c=x\). Then \(|a - b|\lt c\).

Step2: Calculate the difference

\(|15 - 12|=3\). So \(x>3\).

Answer:

C. 3