Question

M is the midpoint of LN. what is LM?

Answer 1

Answer: LM = 6 units.

Step-by-step explanation: Given that the point M is the mid-point of the line segment LN shown in the figure.

We are to find the length of LM.

From the figure, we note that

LM = 3x and MN = 2x + 2.

Since M is the mid-point of LN, so it will divide LN in two equal parts.

That is, we must have

`LM=MN\\\\\Rightarrow 3x=2x+2\\\\\Rightarrow 3x-2x=2\\\\\Rightarrow x=2.`

Therefore, we get

`LM=3*2=6~\textup{units}.`

Thus, LM = 6 units.