To identify the scale factor between two triangles, you need to compare the lengths of corresponding sides of the triangles. The scale factor is the ratio of the side lengths of the scaled triangle to the original triangle.

Let’s solve this step-by-step:

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Step 1: Identify corresponding sides

If the triangles are scaled copies, their corresponding sides will be proportional. Typically, this means:

• Compare the shortest side of the first triangle with the shortest side of the second triangle.
• Compare the longest side (hypotenuse) of the first triangle with the longest side of the second triangle.

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Step 2: Write the ratio

The scale factor is: $\text{Scale Factor} = \frac{\text{Length of side in scaled triangle}}{\text{Length of corresponding side in original triangle}}$

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Step 3: Simplify the ratio

Ensure the fraction is simplified to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).

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If you provide side lengths or upload the image of the triangles, I can calculate the exact scale factor and explain further.

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Would you like to share the side lengths or an image for precise calculations?

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Related Questions:

1. How do you simplify ratios or fractions?
2. What does it mean for two triangles to be "scaled copies"?
3. How do you find the hypotenuse of a right triangle using the Pythagorean Theorem?
4. Can a triangle with non-integer side lengths still have a scale factor?
5. How do scale factors relate to areas of similar shapes?

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Tip: Always ensure corresponding sides are matched correctly when finding the scale factor.