Khan Academy Static

You've explored perpendicular bisectors and angle bisectors, but you're craving to study lines that intersect the vertices of a a triangle AND bisect the opposite sides. Well, you're in luck because that (medians) is what we are going to study in this tutorial. We'll prove here that the medians intersect at a unique point (amazing!) called the centroid and divide the triangle into six mini triangles of equal area (even more amazing!). The centroid also always happens to divide all the medians in segments with lengths at a 1:2 ration (stupendous!).

3754_Triangle_medians_and_centroids_2D_proof_.html

3756_Exploring_medial_triangles.html

3757_Centroid_median_proof.html

3753_Triangle_medians_centroids.html

3758_Median_centroid_example.html

3755_Dividing_triangles_with_medians.html