Mini Circumcircles

The midpoint of each side of triangle ABC is drawn.

A new triangle is drawn by connecting the points.

The circumcircles of the 3 new outer triangles are drawn.

Where do they intersect?

Do they seem to all intersect at the same point? Why?

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Circumradius
Mini Circumradius

Drag the triangle around and keep changing the size.

Where do you think the intersection point is located?

Why?

App generated by Geometry Expressions