Question

Relation between incenter and circumcenter of a triangle inscribed

Answer 1

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Incenter: Where a triangle's three angle bisectors intersect (an angle bisector is a ray that cuts an angle in half); the incenter is the center of a circle inscribed in (drawn inside) the triangle. ... Orthocenter: Where the triangle's three altitudes intersect.

Answer 2

Answer:

Step-by-step explanation:

Incenter is the point for a triangle where the center of the circle that will be drawn to be tangent to all three sides of the triangle, the circle will be inside (inscribed within ) the triangle.

The incenter is the point where all three angle bisectors of the triangle intersect. The incenter is the point that is equidistant from all three sides of the triangle.

The perpendicular distance to each side will be a radius of the incenter circle

Circumcenter is the point for a triangle where the center of the circle that will be drawn that is tangent to all three vertices of the triangle.

The circle will be outside (circumscribed about) the triangle.

The circumcenter is the point where all three perpendicular bisectors of the sides of the triangle intersect.

The circumcenter is equidistant to all three vertices of the triangle.The radii of the circle will touch each of the three vertices of the circle .