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

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.

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