Question

Find the measure of the line segment TV​

Answer 1

9514 1404 393

Answer:

18

Explanation:

When chords cross, the product of the lengths of the pieces is the same for each chord:

EU·ES = ET·EV

8·9 = (12x)(6x)

72 = 72x^2

x^2 = 1 ⇒ x = 1

Then the length of interest is ...

TV = ET +EV = 12·1 +6·1

TV = 18