Respuesta :

9514 1404 393

Answer:

  24

Step-by-step explanation:

The product of lengths from the point where the secants meet to the near and far circle intersection points is the same for both secants.

  RQ·RC = RS·RT

  8(27) = (3x)(8x)

  9 = x^2 . . . . . . . . . divide by 24

  3 = x

Then the length of interest is ...

  TR = 8x = 8·3

  TR = 24