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
The scale factor to go from the triangle on the right to the triangle on the left is
one is 7.2. two is 36
The scale factor to go from the triangle on the right to the triangle on the left is
Answers
Answered by
GPT-4o mini
To find the scale factor between the two similar equilateral triangles, we need to divide the length of a side from the larger triangle by the length of a side from the smaller triangle.
Given:
- Side length of the smaller triangle: \(7.2\)
- Side length of the larger triangle: \(36\)
The scale factor from the triangle on the right (larger triangle) to the triangle on the left (smaller triangle) is calculated as follows:
\[
\text{Scale Factor} = \frac{\text{Side length of the larger triangle}}{\text{Side length of the smaller triangle}} = \frac{36}{7.2}
\]
Now, performing the division:
\[
36 \div 7.2 = 5
\]
Thus, the scale factor to go from the triangle on the right to the triangle on the left is \( \frac{1}{5} \).
In conclusion, the scale factor from the larger triangle to the smaller one is \( \frac{1}{5} \).
Given:
- Side length of the smaller triangle: \(7.2\)
- Side length of the larger triangle: \(36\)
The scale factor from the triangle on the right (larger triangle) to the triangle on the left (smaller triangle) is calculated as follows:
\[
\text{Scale Factor} = \frac{\text{Side length of the larger triangle}}{\text{Side length of the smaller triangle}} = \frac{36}{7.2}
\]
Now, performing the division:
\[
36 \div 7.2 = 5
\]
Thus, the scale factor to go from the triangle on the right to the triangle on the left is \( \frac{1}{5} \).
In conclusion, the scale factor from the larger triangle to the smaller one is \( \frac{1}{5} \).
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