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Let AB and CD be chords of a circle, that meet at point Q inside the circle. If AQ = 6, BQ = 14, and CD = 38, then find the minimum length of CQ.

 Jan 16, 2021
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Let AB and CD be chords of a circle, that meet at point Q inside the circle. If AQ = 6, BQ = 14, and CD = 38, then find the minimum length of CQ.

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AQ * QB = CQ * QD

 

6 * 14 = 84

 

x*(38 - x) = 84         CQ = 19 - √277 = 2.356683023

 Jan 16, 2021

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