Question

In the accompanying diagram, right triangle ABC is similar to right triangle RST with ZA E ZR. If AB = 6. AC = 9. and RS = 4. find RT. T D 4

Answer 1

If the triangles are similar, we can write the following proportion between the corresponding sides:

`\begin{gathered} (AB)/(RS)=(AC)/(RT) \\ \\ (6)/(4)=(9)/(RT) \\ 6\cdot RT=9\cdot4 \\ 6RT=36 \\ RT=(36)/(6) \\ RT=6 \end{gathered}`

So the length of RT is 6 units.