Answer : 2 15.69 cm Explanation : Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x.We use the Pythagorean theorem on right triangle ABOAO² = AB² OB² r² = 14² x²We use the Pythagorean theorem on right triangle DCODO² = CD² OC²We see that OC = OB BC = x 5, sor² = 10² (x 5)²So we have a system of two equations:r² = 14² x² r² = 10² (x 5)²Since both left sides equal r², set the right sidesequal to each other.14² x² = 10² (x 5)² 196 x² = 100 x² 10x 25 196 = 125 10x 71 = 10x 7.1 = xr² = 14² x² r² = 196 (7.1)² r² = 196 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

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