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Transcript
Constructing the Inscribed and Circumscribed Circles of a Triangle 1. The Inscribed Circle: On a separate piece of paper draw a scalene triangle. The side lengths should be at least 2 inches each. The incenter of the triangle is found by bisecting two of the angles and finding the intersection of those two lines. Next, construct the segment perpendicular to one side of the triangle that goes through the incenter. This segment is the radius of your inscribed circle. 2. The Circumscribed Circle: On a separate piece of paper, draw another scalene triangle about the same size as the last one. The circumcenter of the triangle is found by constructing the perpendicular bisectors of two of the sides, and then finding their intersection. The radius of the circumscribed circle is the distance from the circumcenter to any vertex. Constructing the Inscribed and Circumscribed Circles of a Triangle 1. The Inscribed Circle: On a separate piece of paper draw a scalene triangle. The side lengths should be at least 2 inches each. The incenter of the triangle is found by bisecting two of the angles and finding the intersection of those two lines. Next, construct the segment perpendicular to one side of the triangle that goes through the incenter. This segment is the radius of your inscribed circle. 2. The Circumscribed Circle: On a separate piece of paper, draw another scalene triangle about the same size as the last one. The circumcenter of the triangle is found by constructing the perpendicular bisectors of two of the sides, and then finding their intersection. The radius of the circumscribed circle is the distance from the circumcenter to any vertex. Constructing the Inscribed and Circumscribed Circles of a Triangle 1. The Inscribed Circle: On a separate piece of paper draw a scalene triangle. The side lengths should be at least 2 inches each. The incenter of the triangle is found by bisecting two of the angles and finding the intersection of those two lines. Next, construct the segment perpendicular to one side of the triangle that goes through the incenter. This segment is the radius of your inscribed circle. 2. The Circumscribed Circle: On a separate piece of paper, draw another scalene triangle about the same size as the last one. The circumcenter of the triangle is found by constructing the perpendicular bisectors of two of the sides, and then finding their intersection. The radius of the circumscribed circle is the distance from the circumcenter to any vertex. Constructing the Inscribed and Circumscribed Circles of a Triangle 1. The Inscribed Circle: On a separate piece of paper draw a scalene triangle. The side lengths should be at least 2 inches each. The incenter of the triangle is found by bisecting two of the angles and finding the intersection of those two lines. Next, construct the segment perpendicular to one side of the triangle that goes through the incenter. This segment is the radius of your inscribed circle. 2. The Circumscribed Circle: On a separate piece of paper, draw another scalene triangle about the same size as the last one. The circumcenter of the triangle is found by constructing the perpendicular bisectors of two of the sides, and then finding their intersection. The radius of the circumscribed circle is the distance from the circumcenter to any vertex.
