LM is a perpendicular bisector of NP. The length of LN is 12w+7, and the length of LP is 15w−5. What is the length of LN?

Given:

LM is a perpendicular bisector of NP.

The length of LN is 12w+7, and the length of LP is 15w−5.

To find:

The length of LN.

Solution:

All points on a perpendicular bisector of a segment are equidistant from the end points of the segment.

Since, LM is a perpendicular bisector of NP, therefore L is equidistant from N and P.

Isolate variable terms.

Divide both sides by 3.

Now,

Therefore, the length of LN is 55 units.

black/brown

step-by-step explanation:

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