Proposed Problem
Click the figure below to see the complete problem 366 about Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle.
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Complete Geometry Problem 366
Level: High School, SAT Prep, College geometry
Thursday, October 15, 2009
Problem 366. Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle.
Labels:
60,
angle,
circumcircle,
equilateral,
scalene,
triangle
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ang C2 = ang E1, ang A1 = ang E2 (same arc FB, BD)
ReplyDeleteE1 = C2 = 180 - A - 60 - B1 ( from tr BPC )
E2 = A1 = 180 - C - 60 - B2 ( from tr APB )
E1 + E2 = 360 - 120 - ( A + C + B1 + B2 )
E1 + E2 = 60
at the same way F = 60, D = 60 ( ang APC = B + 60 )
E1 = ang FEB, E2 = ang BED