In triangle ABC, angle C is 90 °, sin A = 0.6, AB = 10. Find BC.

Three points of the plane that do not lie on one straight line and are connected by three segments make up a triangle.

A triangle containing one right angle is rectangular. The side opposite the right angle is called the hypotenuse, and the other two are called legs.

Since the leg BC opposite to the angle A is unknown, then to calculate it, you need to apply the theorem of sines. 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 = 10 * 0.6 = 6 cm.

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