Question

point s is on line segment (overline{rt}). given (rs = 4) and (st = 15), determine the length (overline{rt}).

Explanation:

Step1: Analyze the relationship between line segments

Since point \(S\) is on line segment \(\overline{RT}\), we know that \(RT = RS+ST\) (by the segment addition postulate).

Step2: Substitute the given values

We are given \(RS = 4\) and \(ST = 15\). Substituting these values into the formula \(RT=RS + ST\), we get \(RT=4 + 15\).

Step3: Calculate the result

\(4+15=19\)

Answer:

\(19\)