Question

Point M is on line segment LmN. Given L N = 4x, M N = x, andL M= 3, determine the numerical length of L N.

Answer 1

We determine the numerical length of LN as follows:

`LN=LM+MN\Rightarrow4x=x+3`
`\Rightarrow3x=3\Rightarrow x=1`

From this, we replace the value of x and we will get:

`LN=4x\Rightarrow LN=4`