Help please :)) and thanks

Answers:

6 inches = yes

12 inches = yes

22 inches = no

5 inches = no

14 inches = yes

Explanation:

Let,

a = length of XY = 8 inches

b = length of YZ = 13 inches

c = length of XZ = unknown

By the triangle inequality theorem, we can say

b-a < c < b+a

13-8 < c < 13+8

5 < c < 21

So the segment XZ can be any length between 5 and 21, but it cannot be 5 or it cannot be 21.

From the given answer choices, the possible values for XZ are: 6, 12 and 14.

The values of 22 and 5 are outside the interval 5 < c < 21, so those lengths are not possible for XZ.

step-by-step explanation:

in which figure is point g a centroid