Properties of circle inscribed in a triangle
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the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter
the three essential properties of a circumscribed triangle are as follows:
1.The segments from the incenter to each vertex bisects each angle.
2.The distances from the incenter to each side are equal to the inscribed circle's radius.
3.The area of the triangle is equal to where is the inscribed circle's radius.
the three essential properties of a circumscribed triangle are as follows:
1.The segments from the incenter to each vertex bisects each angle.
2.The distances from the incenter to each side are equal to the inscribed circle's radius.
3.The area of the triangle is equal to where is the inscribed circle's radius.
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