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In which triangle do the three altitudes intersect outside of the triangle?
Obtuse Triangle
A set of three points equidistant around a point is called an?
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.
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
What is the point where all three angle bisectors of a triangle intersect?
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.)
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
