Question

Point M is on line segment \overline{LN} LN . Given LM=5LM=5 and LN=12,LN=12, determine the length \overline{MN}. MN .

Answer 1

Answer: 7 units.

Explanation:

Given: Point M is on line segment
`\overline{LN}`.

So, point M must divide
`\overline{LN}` into
`\overline {LM}` and
`\overline{MN}`.

Such that ,
`\overline{LN}=\overline{LM}+\overline{MN}` (i)

Since,
`\overline{LM} = 5` units and
`\overline{LN} =12` units , then we will put values in (i), we will get

`12=5+\overline{MN}\\\\\Rightarrow\overline{MN}=12-5=7`

Hence, the length of
`\overline{MN}` is 7 units.