If the ratio of corresponding sides of two similar triangles is \( 5:6 \), then the ratio of their perimeters is:
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In similar triangles, the ratio of corresponding sides, perimeters, and altitudes remains the same, but the ratio of areas is the square of the side ratio.
For similar triangles, the ratio of corresponding sides, perimeters, and altitudes are the same.
Since the given ratio of sides is:
\[
5:6
\]
The ratio of perimeters is also:
\[
5:6
\]