The value of x is 11.
Solution:
JH is a midsegment of the triangle KLM.
LM = 22
JH = x
To find the value of x.
Mid-segment theorem:
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side.
By the mid-segment theorem,
JH = Half of LM
[tex]$x=\frac{1}{2} LM[/tex]
[tex]$x=\frac{1}{2} \times 22[/tex]
x = 11
The value of x is 11.