In triangle ABC, angle C = 90 degrees, AB = 8, sinA = 0.5. Find BC

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

If one of the angles 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 the sine of the angle A is known by the condition of the problem, we will use the theorem of sines to calculate the length of the BC leg.

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;

BC = 8 0.5 = 4 cm.

Answer: the length of the BC leg is 4 cm.