# Given a triangle ABC with sides 9, 4 and 7. Find the perimeter of a triangle MNK whose vertices

June 30, 2021 | education

| **Given a triangle ABC with sides 9, 4 and 7. Find the perimeter of a triangle MNK whose vertices are the midpoints of these sides.**

From the condition, we know that a triangle ABC is given with sides 9, 4 and 7. In order to find the perimeter of the triangle MNK, the vertices of which are the midpoints of these sides, let’s recall the definition of the midline of a triangle.

So, the middle line of a triangle is a line segment that connects the midpoints of the two sides of the triangle.

So the sides of the triangle MNK are the midlines ABC.

The middle line of a triangle is half the side parallel to it.

9: 2 = 4.5;

4: 2 = 2;

7: 2 = 3.5.

It remains to find the perimeter:

4.5 + 2 + 3.5 = 10.

Answer: 10.

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.