Math Open Reference
Midsegment of a Triangle
A line segment joining the midpoints of two sides of a
A triangle has 3 possible midsegments.
Drag the orange dots on each
to reshape the triangle. Notice the behavior of the midsegment line.
The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
A triangle has three possible midsegments, depending on which pair of sides is initially joined.
Constructing the midsegment of a triangle
with ruler and straightedge.
Other triangle topics
Triangle interior angles
Triangle exterior angles
Triangle exterior angle theorem
Proof of the Pythagorean Theorem
Midsegment of a triangle
Side / angle relationship
Perimeter / Area
Perimeter of a triangle
Area of a triangle
Area of an equilateral triangle
Area by the "side angle side" method
Area of a triangle with fixed perimeter
Incenter of a triangle
Circumcenter of a triangle
Centroid of a triangle
Orthocenter of a triangle
Congruence and Similarity
Solving the Triangle
Law of sines
Law of cosines
Triangle quizzes and exercises
Triangle type quiz
Ball Box problem
How Many Triangles?
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