Question

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

Answer 1

Hi,

Sum of two sides of triangle always greater than third side, so the possible values of h is:

7x-3x < h < 7x+3x

4x < h < 10x

I hope to help you☻♥

Answer 2

Answer:

Option A.

Step-by-step explanation:

A triangle has 3 sides measuring 3x cm, 7x cm and h cm.

We have to determine the expression which describes the possible value of 'h'

Since a triangle is possible if " Sum of two sides of a triangle is greater than the measure of third side."

so  h + 3x > 7x

h > (7x - 3x)

h > 4x  

or  3x + 7x > h

10x > h

So by combining both inequalities

4x < h < 10x will be the answer.

Option A is the answer.