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In right angled triangle ABC, AC is the hypotenuse, AB = 12 cm and ∠ BAC = 30˚, then find the length of the side BC.

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Drawing the given triangle so that we get a better view of the problem.

As in the question it is given that AC is the hypotenuse, therefore it is evident that angle BAC and angle ACB cannot form 90˚ as the ends of the hypotenuse never form the right angle in a right-angled triangle.

With regard to the above written point, we can say that angle ABC will form the 90˚ or B will form the right angle in this right-angled triangle. Also, we can say that on producing the two ends of the hypotenuse (given one predefined angle is given) we will always get the right-angled point at the intersection of these lines (where A is produced at an angle of 30˚) which in this case is point B.

Now using the trigonometric ratio,

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