Three students are trying to find the diameter of circle c. A circle with center c is shown. A secant xy is drawn to the left of center c. A perpendicular is drawn from the midpoint z of secant xy to a point w on the circumference. The length of each segment xz and yz is 36. Gregory believes the diameter is equal to the length of chord xy. Maria believes chord wy can be added to create the right triangle wzy. She also thinks the hypotenuse of Δwzy has a length equal to the radius of the circle. Jordan believes segment wz lies on the diameter of the circle, and that if the diameter is drawn, he can make an equation relating the pieces of that diameter of the circle to the pieces of xy. The student with the correct approach to finding the diameter is ________. The diameter of the circle is ________ units.
1) Gregory
2) Maria
3) Jordan
4) Cannot be determined
