Question

find the scale factor (level 2) 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 in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor \(k\) from the original figure to the scaled - copy is given by the ratio of corresponding side lengths. Let the side length of the original triangle be \(a\) and the side length of the scaled - copy be \(b\). Then \(k=\frac{b}{a}\).

Step2: Identify corresponding side lengths

Let the side length of the smaller right - triangle be \(a = 4\) and the side length of the larger right - triangle be \(b = 13\).

Step3: Calculate the scale factor

The scale factor \(k=\frac{13}{4}\).

Answer:

\(\frac{13}{4}\)