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IMSO 2011 International Mathematics — Short Answer Question 17

IMSO Maths · IMSO 2011 International Mathematics — Short Answer

Question 17

Chords EF and GH are perpendicular to each other. A and B are centers of circle A and circle B respectively. Circle A and circle B are tangent to the chords, as shown. If their radii are 12 and 5 respectively, find AB. Enter an exact radical, for example 3*sqrt(2).

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