Question

Identify the value of y and the length of each chord. HELP ASAP!!

Answer 1

y = 57, PQ = 60, RS = 28

Last option is the answer

Explanation:

3 * y = 9 * 19

3y = 171

y = 57

PQ = 3 + 57 = 60

RS = 9 + 19 = 28

Answer 2

y = 57; PQ = 60; RS = 28

Explanation:

The product of lengths of parts of a chord is a constant, so ...

PT·TQ = RT·TS

TQ = y = RT·TS/PT = 9·19/3 = 57

Of course the total chord length is the sum of its parts, so ...

PQ = PT +TQ = 3 +57 = 60

RS = RT +TS = 9 +19 = 28

Then your answer choice is ...

y = 57; PQ = 60; RS = 28.