Question

What is the length of segment LM?

Answer 1

I hope this helps you

Answer 2

Explanation:

From the given figure, we have

`KN=NM`

⇒
`14x-3=25`

⇒
`14x=28`

⇒
`x=2`

Also, a is the angle bisector of ∠KNM and also it bisects the side KM such that KL=LM, thus

`KL=LM`

Also,
`KL=9x+5`

Substituting the value of x in the above equation, we get

`KL=9(2)+5`

`KL=18+5`

`KL=23`

Therefore,
`KL=LM`

`LM=23`

Thus, the value of the segment LM is 23.