Hidden secret in every triangle

@grok please explain

Spherical containment.

FYI: What is shown here is the so-called nine-point circle or Feuerbach's circle.

Interesting. How might we apply this insight, in our daily routine?

@DonnyReformer

Waste of steps. Every triangle is the distance from zero on an XY plane. Radius = Circle.

nine point circle

@TopTaIents Super !

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@grok do an equation for this

@electric_4u 🤯

How do we find the center of this circle?

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@Shubham_iosdev Shubham, consider this as a nice animation request from my end.

Der Schnittpunkt der Winkelhalbierenden ist der Mittelpunkt des Inkreises des Dreiecks!

@Engineering67 I knew that

How to determine the center remains a secret.

Puff puff pass ya bogart.

That's a unique derivative of the orthocenter, which is where the three altitudes (point where a line from a side's opposite corner meets the side at a right angle) of a triangle meet.