Answer:
the triangles are similar
Explanation:
You want to know if the triangle with side lengths 3, 4, 5 cm is similar to one with side lengths 12.5, 10, 7.5 cm.
When we write the ratios of the side lengths in order from shortest to longest, we have ...
3 : 4 : 5 ⇔ 7.5 : 10 : 12.5
The latter ratios are 2.5 times (3 : 4 : 5), so we can say the sides of one triangle are proportional to the sides of the other.
The triangles are similar.
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Additional comment
We have not been given a similarity statement, so we cannot compare on the basis of the way the sides are named. We can only say that a true similarity statement could be written for these triangles.
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