Point Q is on line segment \overline{PR} PR . Given QR=11QR=11 and PQ=3,PQ=3, determine the length \overline{PR}.

Answer 1

Since Q is the line segment PR, the length of PQ + the length of QR = the length of PR by the segment addition rule, so:

PQ + QR = PR

Substituting the given values for PQ and QR:

3 + 11 = PR

so PR = 14