Triangles everywhere ... !

Please drag the white points in the illustration and describe what happens.

Please drag the white points in the illustration and describe what happens.

Please drag the white points in the illustration and describe what happens.


|∢BAC| = 3 ⋅ |∢BAMAB|
|∢BAC| = 3 ⋅ |∢MABAMAC|
|∢BAC| = 3 ⋅ |∢MACAC|

JSXGraph

This illustration is realized with JSXGraph.

JSXGraph is a cross-browser JavaScript library for interactive geometry, function plotting, charting, and data visualization in the web browser, developed at the University of Bayreuth.