Question

1. triangle 1 is a scale drawing of triangle 2, as shown below.

triangle 1
triangle 2
8
12
x
42
10
35
based on the information shown in these triangles, what is the length of the side x?

Explanation:

Step1: Determine the scale factor

Since the triangles are similar (scale drawing), we can find the scale factor by comparing corresponding sides. Let's take the base sides: \( \frac{35}{10} = 3.5 \). Alternatively, using the other corresponding side: \( \frac{42}{12} = 3.5 \). So the scale factor is \( 3.5 \).

Step2: Calculate \( x \)

Now, to find \( x \), we multiply the corresponding side of Triangle 1 (which is 8) by the scale factor. So \( x = 8 \times 3.5 \).
\( x = 28 \)

Answer:

28