Question

a triangle has side lengths 12 cm, 3 cm, and x cm. which measurement is not in the range of possible values of x? 9 cm 11 cm 13 cm

Explanation:

Step1: Apply triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So we have two inequalities: \(12 + 3>x\) (i.e., \(x < 15\)) and \(|12 - 3|9\)).

Step2: Determine the range of \(x\)

Combining the two inequalities, the range of \(x\) is \(9 < x<15\).

Answer:

A. \(9\ cm\)