We want to find the value of x in the given diagram.
We know that BD is the perpendicular bisector of AC. The Perpendicular Bisector Theorem tells us that, if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Because B lies on BD, it is equidistant from the endpoints of AC.
BA=BC ⇒ 2x-1=7
To find the value of x, we can solve the above equation.
