Question

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find the ratio of the lengths of corresponding sides for the similar triangles.
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Explanation:

Step1: Find the ratio using corresponding sides

We can use the sides \(6\) in and \(12\) in (or \(9\) in and \(12\) in). Let's use \(6\) and \(12\). The ratio is \(\frac{6}{12}\).

Step2: Simplify the ratio

Simplify \(\frac{6}{12}\) by dividing numerator and denominator by \(6\). \(\frac{6\div6}{12\div6}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)