Question

the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a fraction in simplest form. answer attempt 1 out of 2

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original figure (left - hand triangle) to the scaled figure (right - hand triangle) is given by the ratio of the corresponding side lengths of the scaled figure to the original figure.

Step2: Calculate the scale factor

Let the side length of the original triangle be \(a = 5\) and the side length of the scaled - up triangle be \(b = 16\). The scale factor \(k=\frac{b}{a}\). So, \(k = \frac{16}{5}\).

Answer:

\(\frac{16}{5}\)