https://file.aiquickdraw.com/mathbot/file/1728677407573j6bjdbqx.jpg

To find the scale factor between the two triangles, we compare the lengths of their corresponding sides. 

In the image:
- The smaller triangle has two given sides: 5 and 5.
- The larger triangle has two corresponding sides: 7 and 7.

The scale factor is the ratio of the sides of the larger triangle to the corresponding sides of the smaller triangle.

Thus, the scale factor is:

\[
\frac{7}{5}
\]

This is already in its simplest form.

So, the scale factor is \( \frac{7}{5} \).

Would you like more details or have any questions?

Here are five related questions for further practice:
1. If the area of the smaller triangle is 12.5 square units, what is the area of the larger triangle?
2. If the hypotenuse of the smaller triangle is \( x \), what would be the hypotenuse of the larger triangle?
3. What would the perimeter of each triangle be?
4. If another triangle is scaled by a factor of \( \frac{3}{2} \), how would its sides compare to the original smaller triangle?
5. How do the angles of the two triangles compare?

**Tip:** When working with similar triangles, the ratio of corresponding sides is constant across all sides.

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.

Learn how to find the scale factor between two similar right triangles by comparing the ratio of corresponding sides. This problem demonstrates geometric scaling and is suitable for students in Grades 7-10.

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