Question

1. Set up two different ratios using the lengths of thesides of the following triangles. AABC~ARSTAR234.6sTBС

Answer 1

Given two similar triangles

`\triangle ABC\sim\triangle RST`

so, the corresponding sides are proportional

`(AB)/(RS)=(BC)/(ST)=(AC)/(RT)`

As shown in the figure:

AB = 4, AC = 6

RS = 2, RT = 3

so,

`\begin{gathered} (AB)/(RS)=(4)/(2)=(2)/(1) \\ \\ (AC)/(RT)=(6)/(3)=(2)/(1) \end{gathered}`

The ratios can be written as: