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the right triangle on the right is a scaled copy of the right triangle …

Question

the right triangle on the right is a scaled copy of the right triangle on the left. identify the scale factor.

Explanation:

Step1: Choose a corresponding side

Let's use the vertical sides. The length of the vertical - side of the left - hand triangle is 5, and the length of the vertical - side of the right - hand triangle is 48.

Step2: Calculate the scale factor

The scale factor \(k\) is found by dividing the length of the corresponding side of the scaled - copy by the length of the corresponding side of the original. So \(k=\frac{48}{5}=9.6\).

Answer:

9.6