In triangle ABC, angle C = 90 °, angle B = 56 ° BC = 7cm, 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 rectangular triangle is a triangle in which one corner is a straight line (equal to 90º). The side opposite to the right angle is called the hypotenuse, and the other two are called the legs.

To calculate the length of the AC leg, we will use the tangent of the angle ∠D. The tangent of an acute angle of a right triangle is the ratio of the opposite leg to the adjacent leg:

tg B = AC / BC;

AC = BC · tg B;

tg 56º ≈ 1.48;

AC = 7 1.48 = 10.36 cm.

Answer: the length of the AC leg is 10.36 cm.