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

A triangle in which one angle is 90º is called rectangular.

To calculate the length of the hypotenuse AB, we use the theorem of sines.

The sine of an acute angle of a right triangle is the ratio of the opposite leg to the hypotenuse:

sin A = BC / AB.

AB = BC / sin A;

AB = 8 / 0.4 = 20 cm.

Answer: the length of the hypotenuse AB is 20 cm.



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