In triangle ABC, angle C is 90 degrees AC = 15 cosA = 5/7 find AB.

AB is the hypotenuse of a given triangle ABC. We calculate its length in terms of the cosine ∠А.

Cosine ∠A is the ratio of the leg AC, which is a side of this angle, to the hypotenuse AB.

AC / AB = cosine ∠A = 5/7.

15 / AB = 5/7.

AB = 15 x 7/5 = 21 units.

Answer: AB = 21 units of measurement.



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