Define of Circumcentre and Centroid of …

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Define of Circumcentre and Centroid of a Triangle.

Posted by Gulshan Sinku 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Meghna Thapar 4 years ago

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter. Drag around the vertices of the triangle to see where the centers lie.

All the vertices of a triangle are equidistant from the circumcenter. In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle. Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.

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My Guide ... 4 years ago

The circumcenter is the center of the circumscribed circle (the intersection of the perpendicular bisectors of the three sides). The centroid is the intersection of the three medians of the triangle.

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CBSE > Class 09 > Mathematics