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Science Quiz
/ HCHS Triangle Points of Concurrency/Special Segments
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Can you name the Triangle parts.
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Chandler_Alex
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Definition
Answer
Formula
Begins at the vertex and bisects the angle at that vertex.
Line that passes through the centroid,circumcenter and orthocenter of any triangle.
Intersection of perpendicular bisectors;used to find the radius of circumscribed circle.
r=a/(2sinA)
Connects a vertex to the opposite side at a right angle.
Bisects any side at a right angle.
Intersection of angle bisectors;used to find radius of inscribed circle.
r=2(area/perimeter)
Connects the midpoints of two sides; will always be parallel to the 3rd side; splits triangle's area in a 1:3 ratio.
Intersection of altitudes of a triangle.
connects a vertex to the midpoint of the opposite side; cuts the area of the triangle in half.
Intersection of medians;this is the center of mass of the triangle.This splits each median into two segments at a 2:1 ratio.
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