In construction, the perpendicular bisector of segment $XC$ ($BX = AB + AC$) is drawn to find

In construction, the perpendicular bisector of segment $XC$ ($BX = AB + AC$) is drawn to find
  1. point $A$ where it meets the angle ray
  2. midpoint of $BC$
  3. orthocenter
  4. circumcentre

Solution

$A$ is the intersection of the perpendicular bisector and the ray.

Asked in: MH-SSC-9

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