Question

point l is on line segment \\( \overline{km} \\). given \\( kl = 15 \\) and \\( lm = 3 \\), determine the length \\( \overline{km} \\).

Explanation:

Step1: Apply the segment addition postulate

Since \(L\) is on \(\overline{KM}\), by the segment addition postulate \(KM = KL+LM\).

Step2: Substitute the given values

We know \(KL = 15\) and \(LM = 3\). Substituting these values into the formula \(KM=KL + LM\), we get \(KM=15 + 3\).

Step3: Calculate the sum

\(15+3=18\).

Answer:

\(18\)