The ratio of the proportion is [tex]\rm \dfrac{M}{Mk} = \dfrac{LN}{NK}[/tex].
Given that,
By using the side-splitter theorem complete the proportion.
We have to determine
Complete the proportion; [tex]\rm \dfrac{M}{Mk} = \dfrac{LN}{?}[/tex]
According to the question,
The side-splitter theorem states that if a line is parallel to one of the sides of a triangle and intersects two other sides, then it divides the two other sides in equal proportion.
As per the given diagram,
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally.
The required ratio of the proportion is,
[tex]\rm \dfrac{M}{Mk} = \dfrac{LN}{NK}[/tex]
Hence, The required ratio of the proportion is [tex]\rm \dfrac{M}{Mk} = \dfrac{LN}{NK}[/tex].
To know more about the Side-splitter theorem click the link given below.
https://brainly.com/question/3701024
