Question

in the figure below, ( pq = 9 ) and ( qr = 6 ). find ( pr ).

Explanation:

Step1: Determine the relationship between the segments

Since \(P\), \(Q\), and \(R\) are collinear (lying on the same line), by the segment - addition postulate, \(PR = PQ+QR\).

Step2: Substitute the given values

Given \(PQ = 9\) and \(QR = 6\), substitute these into the formula: \(PR=9 + 6\).

Step3: Calculate the result

\(9+6=15\).

Answer:

\(15\)