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

$\frac{AB}{RS}=\frac{BC}{ST}=\frac{AC}{RT}$

As shown in the figure:

AB = 4, AC = 6

RS = 2, RT = 3

so,

$\begin{gathered} \frac{AB}{RS}=\frac{4}{2}=\frac{2}{1} \\ \\ \frac{AC}{RT}=\frac{6}{3}=\frac{2}{1} \end{gathered}$

The ratios can be written as:

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