Example 1: Using the Perpendicular Bisector Theorem — Solve for AB and QR.
Two geometric diagrams illustrating the Perpendicular Bisector Theorem. Diagram A shows triangle ABC with BD as a perpendicular bisector of AC, with side lengths 4x and 6x - 10. Diagram B shows triangle PQR with QS as a perpendicular bisector of PR, with side lengths 3n - 1 and 5n - 7.