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The circumcenter also called incenter. Whichever one you like the best out of these 2.

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Not true!

It is the incentre. The circumcentre is where the perpendicular bisectors of the sides meet.

Using the incentre as centre, you can draw a circle to which all three sides of the triangle are tangents. The circle is the biggest circle that will fit IN the triangle.

Using the circumcentre as centre, you can draw a circle which passes through all three vertices of the triangle. The circle is the smallest circle that will contain (circumscribe) the triangle.

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12y ago

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