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6.2BisectorsofaTrianglePerpendicularBisectors
Whenthreeormorelinesintersectinthesamepoint,theyarecalledconcurrentlines.Thepointofintersectionofthelinesiscalledthepointonconcurrency.Inatriangle,thethreeperpendicularbisectorsareconcurrent.Thepointofconcurrencyisthecircumcenterofthetriangle.
Example2:FindingtheCircumcenterofaTriangleFindthecoordinatesofthecircumcenterof∆!"#withvertices! 0,3 ,! 0,−1 ,!"# !(6,−1)
UsingtheIncenterofatriangle Letsbisecteachangle.Thepointofconcurrencyistheincenterofthetriangle.
Example3:UsingtheIncertofatriangleInthefigureshown,!" = 5! − 1and!" = 2! + 11 a)FindNF b)CanNGbeequalto18?Homework3-15odd,29-32,35,36