Q: How do you fill a triangle with circles?

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Circles are a stronger geometrical shape than a triangle. Circles distribute weight equally which makes it more stable. That is why pot holes are circles.

In the middle of the triangle

you draw a triangle formed by the centers of the two circles and use pythagoean theorem

you cannot because a triangle has verticles and a circle does not

The three vertices of the triangle uniquely determine a circle that circumscribes the triangle. The three sides of the triangle uniquely determine the circle that inscribes the triangle.

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Circles are a stronger geometrical shape than a triangle. Circles distribute weight equally which makes it more stable. That is why pot holes are circles.

In the middle of the triangle

Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.

A triangle has exactly one circumscribed circle.

No.

false

It is a triangle with 3 rectangles and 3 circles!

That is correct

you draw a triangle formed by the centers of the two circles and use pythagoean theorem

It is FALSE.

you cannot because a triangle has verticles and a circle does not

The three vertices of the triangle uniquely determine a circle that circumscribes the triangle. The three sides of the triangle uniquely determine the circle that inscribes the triangle.