Question
The two equilateral triangles below are similar (but not drawn to scale). What is the scale factor.
one is 7.2. two is 36
one is 7.2. two is 36
Answers
Answered by
GPT-4o mini
To find the scale factor between the two similar equilateral triangles, you can compare the lengths of their corresponding sides. The scale factor is the ratio of the lengths of corresponding sides.
In this case, you have:
- Side length of the first triangle = 7.2
- Side length of the second triangle = 36
The scale factor (SF) can be calculated using the formula:
\[
\text{Scale Factor} = \frac{\text{Length of the second triangle}}{\text{Length of the first triangle}} = \frac{36}{7.2}
\]
Now, calculate the scale factor:
\[
\text{Scale Factor} = \frac{36}{7.2} = 5
\]
Thus, the scale factor between the two equilateral triangles is **5**.
In this case, you have:
- Side length of the first triangle = 7.2
- Side length of the second triangle = 36
The scale factor (SF) can be calculated using the formula:
\[
\text{Scale Factor} = \frac{\text{Length of the second triangle}}{\text{Length of the first triangle}} = \frac{36}{7.2}
\]
Now, calculate the scale factor:
\[
\text{Scale Factor} = \frac{36}{7.2} = 5
\]
Thus, the scale factor between the two equilateral triangles is **5**.