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
○ h = 4x
○ h = 10x

Explanation:

Step1: Apply triangle inequality theorem

The sum of any two sides > third side.

Step2: Calculate lower bound of h

$7x - 3x < h$ → $4x < h$

Step3: Calculate upper bound of h

$h < 3x + 7x$ → $h < 10x$

Step4: Combine bounds

$4x < h < 10x$

Answer:

A. 4x < h < 10x