# In the triangle ABC, AB = 12cm, BC = 18cm, angle B = 70 * (degrees), and in the triangle MNK

In the triangle ABC, AB = 12cm, BC = 18cm, angle B = 70 * (degrees), and in the triangle MNK, MN = 6cm, NK = 9cm, angle N = 70 * (degrees). Find: AC and angle-C of triangle ABC, if MK = 7cm, angle-K = 60 * (degrees)

The sides of triangles ABC and MNK are proportional:

AB / MN = BC / NK;

12/6 = 18/9 = 2;

yr (ABC) = yr (MNK);

We use 2 signs of similarity of triangles (if two sides of one triangle are proportional to two sides of another triangle and the angles formed by these sides are equal, then such triangles are similar).

We have: triangle ABC is similar to triangle MNK with a similarity coefficient of 2.

Find the AC side:

AC = MK * 2 = 7 * 2 = 14 cm;

The ACB angle is equal to the MKN angle, that is, it is equal to 60 degrees. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.