Triangle Secrets
The Triangle Inequality
For any triangle, the sum of two sides must be greater than the third.
Slide to connect
The Centroid (Center of Mass)
Medians connect a vertex to the midpoint of the opposite side. They meet at the centroid.
Tap midpoints to draw
Median 1
Median 2
Median 3
Midsegment Theorem
A segment connecting two midpoints is parallel to the base and exactly half its length.
Drag to measure
Drag copies of the midsegment onto the base:
Midsegment ({{ s3.midLen }})
Left Half Filled
Right Half Filled
The Circumcenter
The intersection of perpendicular bisectors is the center of a circle that passes through all three vertices.
Hold to inflate
Master of Triangles!
You've explored inequalities, balanced centroids, measured midsegments, and expanded circumcircles.