Question
The two equilateral triangles below are similar (but not drawn to scale). What is the scale factor? tirangel one is 24.5 inc. AAnd triangle two is 35.
The scale factor to go from the triangle on the right to the triangle on the left is
.
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 two similar triangles, we compare the lengths of their corresponding sides.
You mentioned that triangle one has a side length of 24.5 inches and triangle two has a side length of 35 inches. The scale factor can be found by dividing the side length of the triangle you are scaling from (which is triangle two in this case) by the side length of the triangle you are scaling to (triangle one).
The formula for the scale factor (from triangle two to triangle one) is:
\[
\text{Scale Factor} = \frac{\text{Side length of triangle two}}{\text{Side length of triangle one}} = \frac{35}{24.5}
\]
Now, we calculate:
\[
\text{Scale Factor} = \frac{35}{24.5} \approx 1.4286
\]
This means that the scale factor from the triangle on the right (triangle two) to the triangle on the left (triangle one) is approximately 1.43.
Therefore, the scale factor from triangle two to triangle one is about 1.43.
You mentioned that triangle one has a side length of 24.5 inches and triangle two has a side length of 35 inches. The scale factor can be found by dividing the side length of the triangle you are scaling from (which is triangle two in this case) by the side length of the triangle you are scaling to (triangle one).
The formula for the scale factor (from triangle two to triangle one) is:
\[
\text{Scale Factor} = \frac{\text{Side length of triangle two}}{\text{Side length of triangle one}} = \frac{35}{24.5}
\]
Now, we calculate:
\[
\text{Scale Factor} = \frac{35}{24.5} \approx 1.4286
\]
This means that the scale factor from the triangle on the right (triangle two) to the triangle on the left (triangle one) is approximately 1.43.
Therefore, the scale factor from triangle two to triangle one is about 1.43.