In triangle ABC, angle C is straight, AC = 27, sin B = 0.9. Find AB.

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

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

In order to find the length of the hypotenuse AB, it is most convenient to use 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 B = AC / AB;

AB = AC / sin B;

AB = 27 / 0.9 = 30 cm.

Answer: the length of the hypotenuse AB is 30 cm.