Incenter and Circumcenter

Front

What is the Incenter of a triangle?

Back

The Incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

Front

What segments intersect at the Incenter?

Back

Angle Bisectors.

Front

What is the Circumcenter of a triangle?

Back

The Circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.

Front

What segments intersect at the Circumcenter?

Back

Perpendicular Bisectors.

Front

What is the Centroid of a triangle?

Back

The Centroid is the point where the medians of a triangle intersect. It is the center of mass of the triangle.

Front

What segments intersect at the Centroid?

Back

Medians.

Front

What is the Orthocenter of a triangle?

Back

The Orthocenter is the point where the altitudes of a triangle intersect.

Front

What segments intersect at the Orthocenter?

Back

Altitudes.

Front

How do you find the length of the Inradius (r)?

Back

The Inradius can be found using the formula r = A/s, where A is the area of the triangle and s is the semi-perimeter.

Front

How do you find the Circumradius (R)?

Back

The Circumradius can be found using the formula R = abc/4A, where a, b, and c are the lengths of the sides of the triangle and A is the area.