Question

PLEASE HELP ME

ANGLE JH is a midsegment of angle KLM . Find the value of x.


5 1 over 2
9

11

12

Answer 1

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

`$x=(1)/(2) LM`

`$x=(1)/(2) * 22`

x = 11

The value of x is 11.