[ Median line of a triangle ] $[$ Perimeter of a triangle $]$

The perimeter of a triangle is 28, the midpoints of the sides are connected by segments. Find the perimeter of the resulting triangle.
Apply the Midline Theorem of a Triangle.

## Solution

The sides of the resulting triangle are the midlines of the original triangle, meaning they are half the length of the corresponding sides of the original triangle. Therefore, the perimeter of the resulting triangle is also half the perimeter of the original triangle.

![](https://cdn.mathpix.com/cropped/2024_05_06_837b6360ec703a44a031g-25.jpg?height=349&width=604&top_left_y=1852&top_left_x=727)

## Answer

14.