Question

what is the scale factor from the original figure to the scaled copy?

Explanation:

Step1: Identify corresponding sides

The height of the original triangle is \(12\), and the height of the scaled - copy is \(36\).

Step2: Calculate the scale factor

The scale factor \(k\) is given by the formula \(k=\frac{\text{length of side in scaled copy}}{\text{length of corresponding side in original}}\). So, \(k = \frac{36}{12}\).

$$k=\frac{36}{12}=3$$

Answer:

\(3\)