Two triangles ABC and DEF are similar. The smallest side of ABC is equal to 15 units. If the sides of ABC are in the ratio 3 ∶ 4 ∶ 5, and the area of DEF is half of the area of ABC, then what is the largest side of DEF (in units)?

1
25/(√3
2
25 √3
3
25/(√2
4
25 √2
5
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