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Three tangent circles of radius 10 cm are drawn. All centers lie on the line AB. The tangent AC to the right-hand circle is drawn, intersecting the middle circle at D and E. Find the length of the segment DE.

 

 May 11, 2021
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AQ = 50        AP = 30          CQ = 10

RP = (10 * 30) / 50 = 6

DE = 2[sqrt(102 - 62)] = 16

 May 13, 2021

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