Question

a triangle has side lengths measuring ( 3x ) cm, ( 7x ) cm, and ( h ) cm. which expression describes the possible values of ( h ), in cm? ( 10xlt hlt4x ) ( 4xlt hlt10x ) ( h = 10x ) ( h = 4x )

Explanation:

Step1: Apply triangle inequality theorem

The sum of any two sides of a triangle must be greater than the third side. So \(h<3x + 7x\) (i.e., \(h<10x\)) and \(h>7x-3x\) (i.e., \(h > 4x\)).

Answer:

\(4x < h < 10x\)