Geometry Problem
Click the figure below to see the complete problem 478 about Triangle, Sides, Circumradius, Circumcenter, Circumcircle.
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Complete Problem 478
Level: High School, SAT Prep, College geometry
Friday, July 23, 2010
Problem 478: Triangle, Sides, Circumradius, Circumcenter, Circumcircle
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Let BO intersect circle O at D
ReplyDeleteWe have DA=SQRT(BD^2-AB^2)=SQRT(4R^2-c^2)
DC=SQRT(4R^2-a^2)
Apply Ptolemy’s theorem to Cyclic quadrilateral ABCD :
AC.BD=AB.CD+BC.AD
Replace values of AB, CD, BC, AD ,AC and BD in above equation we will get the result
Peter Tran