Question 1110106
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Your solution is fine; but it is only one of two possible answers, as suggested in the response by the other tutor.<br>
Radii to the endpoints of the chords, and a diameter perpendicular to the two chords, create right triangles with hypotenuse 13 and legs either 5 or 12 (because the diameter bisects each chord).  Then we know the chord of length 24 is 5 from the center of the circle and the chord of length 10 is 12  from the center.<br>
But your answer assumes the chords are on opposite sides of the center of the circle, making the distance between them 12+5=17.  The two chords could be on the same side of the center, making the distance between them 12-5=7.