The radii of two circles are 5 cm and 10 cm and the distance between their centres is 17 cm. Find the length of the transverse common tangent.

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Let the radii of the two circles be r1 = 5 cm and r2 = 10 cm, and the distance between their centres be d = 17 cm. The length (L) of the transverse common tangent between two circles is given by the formula: L = sqrt(d^2 - (r1 + r2)^2). Substituting the values: L = sqrt(17^2 - (5 + 10)^2) = sqrt(289 - 225) = sqrt(64) = 8 cm. Therefore, the length of the transverse common tangent is 8 cm.

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