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gizmo_the_mogwai [7]
3 years ago
5

Describe a triangle for which the centroid, circumcenter, incenter, and orthocenter are the same point. What features of this tr

iangle cause these points to be concurrent? Complete the explanation
Mathematics
2 answers:
liberstina [14]3 years ago
8 0

Answer:

The type of triangle whose incenter, orthocenter, circumcenter and centroid are at the same point in the triangle is an<em> Equilateral Triangle.</em>

Step-by-step explanation:

An equilateral triangle is a type of triangle which has all its three sides of equal length. Thus, all the three angles are of equal size of 60 degrees. As a result of the equal size in the three lengths, all lines drawn from the sides, angles, or inter-sectors will meet at the same point at the center of the triangle.

The <em>incenter</em>, located at the intersection of the angle bisectors, <em>circumcenter</em>, located at the intersection of the perpendicualr bisectors of the sides, the <em>centroid</em>, located at the intersection of the  medians and the <em>orthocenter</em>, located at the intersections of the altitudes are all on the same point in the triangle.

hjlf3 years ago
3 0

Answer:

An equilateral triangle

Step-by-step explanation:

Because an equilateral has a feature that all sides have the same length and all angles are of the same, it does not matter from which side and peak the centroid, circumcenter, incenter and orthocenter is created, they would always end up at the same point.

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