In the given figure, PT is a common tang...

In the given figure, PT is a common tangent to three circles at points A, B and C respectively. The radius of the small, medium and large circles is 4 cm, 6 cm and 9 cm. `O_(1),O_(2) and O_(3)` are the centre of the three circles. What is the value (in cm) of PC?

`18sqrt(6)`

`9sqrt(6)`

`24sqrt(6)`

`15sqrt(6)`

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