In triangle ABC, angle C = 90 degrees, BC = 21, sinA = 7/9. find AB

In a right-angled triangle, the sine of an acute angle is the ratio of the length of the opposite leg to the length of the hypotenuse.

SinBAC = BC / AB.

AB = BC / SinBAC = 21 / (7/8) = 21 * 8/7 = 24 cm.

Answer: The length of the hypotenuse AB is 24 cm.



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