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Let line AB and line CD be chords of a circle, that meet at the point Q inside the circle. If AQ = 16, BQ = 12, and CD = 36, then find the minimum length of CQ.

 Oct 21, 2021
 #1
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The minimum length of CQ is 5.

 Oct 21, 2021
 #2
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16 * 12 = 192

 

CQ(36 - CQ) = 192

 

CQ = 2(9 - √33)    or     6.510874707

 Oct 22, 2021

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