In triangle ABC, angle A = 90, angle B = 30, AC = 5.5 cm, BC-?

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

If one angle in a triangle is 90º, then this triangle is right-angled. The side opposite to the right angle is called the hypotenuse, and the other two are called the legs.

Since, according to the condition of the problem, the angle B and the leg opposite to it are known, it is most convenient to use the theorem of sines to calculate the length of the hypotenuse of the BC.

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

sin B = AC / BC;

BC = AC / sin B;

sin 30º = 1/2 = 0.5;

BC = 5.5 / 0.5 = 11 cm.

Answer: the length of the hypotenuse of the BC is 11 cm.