Question

now, find the scale factor.
original triangle scaled copy
base 12 4
height 18 6
the scale factor is

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original to the scaled - copy is found by dividing the corresponding side length of the scaled - copy by the corresponding side length of the original.

Step2: Choose a side

We can use either the base or the height. Let's use the base. The base of the original triangle is 12 and the base of the scaled - copy is 4.

Step3: Calculate scale factor

The scale factor $k=\frac{\text{Side length of scaled copy}}{\text{Side length of original}}=\frac{4}{12}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$