In triangle ABC, angle C is 90 degrees, BC = 8, sinA = 0.4. Find AB.

Given: right-angled triangle ABC;
angle C = 90;
sin A = 0.4;
BC = 8 centimeters;
Find: AB -?
Consider a right-angled triangle ABC.
The sine of the angle in a right-angled triangle is equal to the ratio of the opposite leg to the hypotenuse. Consequently:
sin A = BC / AB;
AB = BC / sin A;
BC = sin A * AB
AB = 8: 0.4;
AB = 80: 4;
AB = 20 centimeters.
Answer: AB = 20 centimeters.

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