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

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 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 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 ) which in this case is point B.

Now using the trigonometric ratio,