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To find the scale factor between the two triangles, we compare corresponding sides since the triangles are similar (scaled copies of each other).

The side length of the smaller triangle is \(5\) and the corresponding side length of the larger triangle is \(25/4\). The scale factor, \(k\), is given by the ratio of the corresponding sides of the larger triangle to the smaller triangle:

\[
k = \frac{25/4}{5}
\]

Let's simplify this expression to find the scale factor.

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 whole number or fraction in simplest form.

Learn how to calculate the scale factor between two similar right triangles. The problem involves comparing corresponding side lengths, simplifying the ratio, and applying geometric similarity principles. Suitable for students in Grades 7-9.

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