In triangle ABC, angle C is 90 °, angle A is 30 °, AB = 2. Find BC.

A triangle is a geometric figure consisting of three points that do not lie on one straight line, connected by segments. These points are the vertices of the triangle, and the line segments are its sides.

If a triangle has an angle equal to 90º, then this triangle is right-angled.

Since the length of the opposite BC leg is unknown, we will apply the theorem of sines to calculate its length. The sine of an acute angle of a right triangle is the ratio of the opposite leg to the hypotenuse:

sin A = BC / AB;

BC = AB · sin A;

sin 30º = 1/2;

BC = 2 1/2 = 2/2 = 1 cm.

Answer: the length of the BC leg is 1 cm.