Question

question
the right triangle on the right is a scaled copy of the right triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.
11
11
44
44

Explanation:

Step1: Recall scale factor formula

The scale factor is the ratio of a corresponding side length in the scaled copy to the original side length. Let the original triangle (left) have a side length \( a = 11 \), and the scaled copy (right) have the corresponding side length \( a' = 44 \). The scale factor \( k \) is given by \( k=\frac{\text{length in scaled copy}}{\text{length in original}} \).

Step2: Calculate the scale factor

Substitute the values: \( k = \frac{44}{11} \). Simplify the fraction: \( \frac{44}{11}=4 \).

Answer:

\( 4 \)