Triangle Midsegment Theorem
MidsegmentA midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.
In the figure is the midpoint of and is the midpoint of .
So, is a midsegment.
The Triangle Midsegment Theorem
A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.
then and .
Find the value of .
Here is the midpoint of , and is the midpoint of . So, is a midsegment.
Therefore by the Triangle Midsegment Theorem,
The value of is .