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

Answer 1

4x < h < 10x

Explanation:

i got it right.

Answer 2

4x < h < 10x

Explanation:

The triangle inequality theorem tells us that the 3rd side of a triangle will always be between the sum of the lengths of the other two sides and the difference of the lengths of the other two sides.

For example, If the lengths of a triangle are 5 and 10, the 3rd side length would be (let third side be x):

10 - 5 < x < 10 + 5

5 < x < 15

Now, looking at our problem, the third side, h, would be:

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

4x < h < 10x

This is correct.