Question

If PS = 9 and RS = 34, what is QS?

Answer 1

To find the length of QS, subtract the length of segment PS from segment RS. PS equals 9 and RS equals 34, so QS is 34 - 9, which is 25.

Step-by-step explanation:

If PS = 9 and RS = 34, to find the length of segment QS, we need to understand the relationship between these segments. Typically, in problems like this, PS and RS are parts of a larger segment, PRS, with Q being a point on segment RS.

If we assume Q is between P and R and PS is a part of RS, the length of QS can be found by subtracting PS from RS, because segment QS plus segment PS would equal the entire length of segment RS. So, QS = RS - PS = 34 - 9 = 25.

Therefore, QS = 25.

Answer 2

Step-by-step explanation:

By this theorem (I forgot what it's called, but I learned it this year), QS^2 = PSxSR.

So:

9x34=QS^2

306=QS^2

QS is about 17.5