Question

a triangle has side lengths measuring 3x cm, 7x cm, and h cm. which expression describes the possible values of h, in cm? 4x < h < 10x 10x < h < 4x

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, \(h<3x + 7x\) and \(h>7x-3x\).

Step2: Simplify the inequalities

Simplifying \(h<3x + 7x\) gives \(h < 10x\), and simplifying \(h>7x - 3x\) gives \(h>4x\).

Answer:

A. \(4x < h < 10x\)