In your own words, explain how to find the incenter and the circumcenter of a triangle and what the Circumcenter Theorem and Inc
enter Theorem tells us. (25 points)
1 answer:
Circumcenter is where three perpendicular bisectors intersect and incenter is where the three angle bisectors intersect.
Way to find them and the theorems are mentioned below.
Step-by-step explanation:
To find Incenter :
Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.
To find Circumcenter:
Construct perpendicular bisectors of all sides of triangle and their intersection point gives the circumcenter.
Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.
Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.
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