In the given figure, PQRS is a square of...

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres `O_(1)andO_(2)` of the two circles?

A

`5sqrt(10)`

B

`4sqrt(10)`

C

`8sqrt(5)`

D

`16sqrt(2)`

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