Question

Help me please I’m confused on how to setup the ratio

Answer 1

`ST=44`

1) Since there are two parallel sides, we can state that we can see here similar triangles with proportional sides and congruent angles.

2) So we can write out the following ratios:

`\begin{gathered} (TU)/(TQ)=(TS)/(TR) \\ (24)/(42)=(ST)/(77) \\ 42ST=24*77 \\ ST=(1848)/(42) \\ ST=44 \end{gathered}`

Note that we had to subtract from 42 that length of 18 units to get the masure of TU