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.
+1694 Three tangent circles of radius 10 cm are drawn. All centers lie on 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.
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AC = sqrt(AB2 - BC2)
Mid point of AC => F
Center of middle circle => G
AG = 2r
FG / AG = BC / AB FG = (AG * BC) / AB
DE = 2 * sqrt(DG2 - FG2)
