Point Q is on line segment start overline, P, R, end overline PR . Given P, Q, equals, 2PQ=2 and Q, R, equals, 14, commaQR=14, determine the length start overline, P, R, end overline, . PR .
We are given that PQ = 2 and QR = 14, and we want to find PR.
Since P,Q, and R are collinear (line segment PR), we can use the Triangle Inequality.
According to the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, in this case, PR must be greater than the difference of PQ and QR:
PR > PQ - QR
PR > 2 - 14
PR > -12
Since the length cannot be negative, we can say that PR > 12.
Thus, the length of line segment PR is greater than 12 units.