Question

I'm not sure how to find the answer, help?
If RX = 4 and XS = 9, then XT =

6
6.5
√13
18

Answer 1

I think the answer is 6, but I don't know how to find that answer.

Answer 2

use similar triangles

Answer 3

I understand that both RX and XS are legs of the two smaller triangles

Answer 4

triangle RTS is similar to TXS

so corresponding sides are in the same ratio

Answer 5

Would it be RX/XS = TX/TS?

Answer 6

yes triangles TRX and triangle XST are also similar