In triangle ABC, angle A is 90 degrees, angle B is 30 degrees, AC = 3 cm. Find the hypotenuse.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

A rectangular triangle is a triangle in which one corner is a straight line (equal to 90º). The side opposite to the right angle is called the hypotenuse, and the other two are called the legs.

To calculate the length of the hypotenuse of the BC, we apply the theorem of sines. The sine of an acute angle of a right-angled triangle is the ratio of the opposite leg to the hypotenuse:

sin B = AC / BC;

sin 30º = 1/2 = 0.5;

BC = AC / sin B;

BC = 3 / 0.5 = 6 cm.

Answer: the length of the hypotenuse of the BC is 6 cm.