P.o.t.W. #29 Solution
The perpendicular bisector of the chord of a circle must be a diameter of the circle. \textrm{FG} is a perpendicular bisector of the chord that measures 13 units. Hence, {\mathrm{FG}} is a diameter of the circle and \textrm{AB }=\dfrac{13}{2} . \textrm{ED }=18-\dfrac{13}{2}=\dfrac{36}{2}-\dfrac{13}{2}=\dfrac{23}{2} . Let \textrm{EC }=x . Triangle \textrm{ABC} and triangle \textrm{CED} are both right triangles such...