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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 = 38, then find the minimum length of CQ. 

 Oct 4, 2020
 #1
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Disregard, solved it myself. 

 

Minimum length of CQ was 2. 

 Oct 4, 2020
 #2
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AQ * BQ = 16 * 12 = 192

 

CQ * DQ = 6 * 32 = 192

 

CD = CQ + DQ = 6 + 32 = 38

 

The minimum length of CQ = 6

 Oct 4, 2020

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