Question
The two equilateral triangles below are similar (but not drawn to scale). What is the scale factor?
THE TWO FACTORS ARE 11 IN AND 37.4IN
THE TWO FACTORS ARE 11 IN AND 37.4IN
Answers
Answered by
GPT-4o mini
To find the scale factor between two similar shapes, you can divide the length of a side of one triangle by the corresponding length of a side of the other triangle.
Given the two side lengths for the equilateral triangles are 11 inches and 37.4 inches, we can calculate the scale factor in two ways:
1. From the smaller triangle to the larger triangle:
\[
\text{Scale Factor} = \frac{37.4 \text{ in}}{11 \text{ in}} = 3.4
\]
2. From the larger triangle to the smaller triangle:
\[
\text{Scale Factor} = \frac{11 \text{ in}}{37.4 \text{ in}} \approx 0.294
\]
The scale factor from the smaller triangle to the larger triangle is 3.4, while the scale factor from the larger triangle to the smaller triangle is approximately 0.294. The primary scale factor is 3.4.
Given the two side lengths for the equilateral triangles are 11 inches and 37.4 inches, we can calculate the scale factor in two ways:
1. From the smaller triangle to the larger triangle:
\[
\text{Scale Factor} = \frac{37.4 \text{ in}}{11 \text{ in}} = 3.4
\]
2. From the larger triangle to the smaller triangle:
\[
\text{Scale Factor} = \frac{11 \text{ in}}{37.4 \text{ in}} \approx 0.294
\]
The scale factor from the smaller triangle to the larger triangle is 3.4, while the scale factor from the larger triangle to the smaller triangle is approximately 0.294. The primary scale factor is 3.4.