In triangle ABC, angle C is 90, angle A is 60, AB = 52, find AC.

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 triangle in which one of the angles is 90º is called rectangular.

To calculate AC, we use the coine theorem. The cosine of an acute angle of a right-angled triangle is the ratio of the adjacent leg to the hypotenuse:

cos A = AC / AB;

AC = AB · cos A;

cos 60º = 1/2 = 0.5;

AC = 52 ∙ 1/2 = 52/2 = 26 cm.

Answer: the length of the AC leg is 26 cm.