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user100 [1]
3 years ago
6

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)
Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

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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