If triangle ABC is similar to triangle DEF, with AB corresponding to DE and AC corresponding to DF. Given AC = 10, DF = 5, and DE = 4, what is AB?

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Multiple Choice

If triangle ABC is similar to triangle DEF, with AB corresponding to DE and AC corresponding to DF. Given AC = 10, DF = 5, and DE = 4, what is AB?

Explanation:
Similar triangles have corresponding sides in proportion. Since AB corresponds to DE and AC corresponds to DF, the ratio AB/DE must equal AC/DF. With AC = 10 and DF = 5, AC/DF = 10/5 = 2, so AB/DE = 2. Given DE = 4, AB = 2 × 4 = 8. Therefore, AB is 8.

Similar triangles have corresponding sides in proportion. Since AB corresponds to DE and AC corresponds to DF, the ratio AB/DE must equal AC/DF. With AC = 10 and DF = 5, AC/DF = 10/5 = 2, so AB/DE = 2. Given DE = 4, AB = 2 × 4 = 8. Therefore, AB is 8.

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