Respuesta :

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.