Question

Find the measure of the line segment TR​

Answer 1

9514 1404 393

Answer:

24

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