The incentre, the point where the bisectors of the angles meet.
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A set of three points equidistant around a point is called an equilateral triangle. In geometry, an equilateral triangle is a triangle in which all three sides are equal in length. The angles in an equilateral triangle are also equal, each measuring 60 degrees.
Its technical name is the incenter; it's also the center of the largest circle that can be inscribed within the triangle. (It is also equidistant from the nearest point along each of the three sides, if that's not obvious.)
The ORTHOCENTRE
A triangle with sides measuring ; 4 feet , 6 feet and 9 feet is a right triangle. A triangle is a right triangle as long as it has one 90 degree point.
Circumcenter