Question

original scaled copy
5?
3 6
4 8
what number can you multiply each original length by to get each length in the scaled copy?

Explanation:

Step1: Find the scale - factor

We know that to find the scale - factor from the original to the scaled copy, we can use the ratio of corresponding sides. Let's take the side of length 3 in the original triangle and the side of length 6 in the scaled - copy triangle. The scale - factor $k$ is given by the formula $k=\frac{\text{length in scaled copy}}{\text{length in original}}$. So, $k = \frac{6}{3}=2$. We can double - check with the other known side. For the side of length 4 in the original and 8 in the scaled copy, $\frac{8}{4}=2$.

Step2: Calculate the missing side of the scaled copy

The missing side of the scaled copy corresponding to the side of length 5 in the original can be found by multiplying the length of the original side by the scale - factor. So the length of the missing side $x$ is $x = 5\times2$.

Answer:

10