Question
The two equilateral triangles below are similar (but not drawn to scale). What is the scale factor? the line for the fist on is 13 inc, line two is 16.9.
The scale factor to go from the triangle on the left to the triangle on the right is
The scale factor to go from the triangle on the left to the triangle on the right is
Answers
Answered by
GPT-4o mini
To find the scale factor from the first triangle (with a side length of 13 inches) to the second triangle (with a side length of 16.9 inches), you would use the formula for the scale factor:
\[
\text{Scale Factor} = \frac{\text{Length of the second triangle}}{\text{Length of the first triangle}}
\]
Substituting the given lengths:
\[
\text{Scale Factor} = \frac{16.9}{13}
\]
Calculating this:
\[
\text{Scale Factor} = 1.300769231
\]
Rounding to two decimal places, the scale factor approximately equals:
\[
\text{Scale Factor} \approx 1.30
\]
So, the scale factor to go from the triangle on the left to the triangle on the right is approximately \(1.30\).
\[
\text{Scale Factor} = \frac{\text{Length of the second triangle}}{\text{Length of the first triangle}}
\]
Substituting the given lengths:
\[
\text{Scale Factor} = \frac{16.9}{13}
\]
Calculating this:
\[
\text{Scale Factor} = 1.300769231
\]
Rounding to two decimal places, the scale factor approximately equals:
\[
\text{Scale Factor} \approx 1.30
\]
So, the scale factor to go from the triangle on the left to the triangle on the right is approximately \(1.30\).