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 fraction in simplest form.
27
27
12
12
answer attempt 1 out of 2

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{length of side in new figure}}{\text{length of corresponding side in original figure}}\)

Step2: Substitute the values

Here, the length of the side in the new figure is \(12\) and in the original figure is \(27\). So, scale factor \(=\frac{12}{27}\)

Step3: Simplify the fraction

Divide numerator and denominator by their greatest - common divisor. The GCD of \(12\) and \(27\) is \(3\). \(\frac{12\div3}{27\div3}=\frac{4}{9}\)

Answer:

\(\frac{4}{9}\)