Based on the triangle inequality theorem, the possible values of h in cm is: A. 4x < h < 10x
Based on the triangle inequality theorem, two sides of a triangle must be equal or more than the third sides.
Given a values of the side lengths of a triangle as, 3x, 6x, and h cm, the possible values would be determined as shown below:
h < 3x + 7x or 7x - 3x < h
h < 10x or 4x < h
The possible values of h would be: 4x < h < 10x.
Learn more about the triangle inequality theorem on:
https://brainly.com/question/2403556
#SPJ1