Proposed Problem
Click the figure below to see the complete problem 350 about Triangle, Cevian, Incircles, Tangents, Tangency Points, Angles.
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Complete Problem 350
Level: High School, SAT Prep, College geometry
Friday, August 28, 2009
Problem 350. Triangle, Cevian, Incircles, Tangents, Angles,Tangency Points
Labels:
angle,
cevian,
circle,
common tangent,
incircle,
tangency point,
tangent,
triangle
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Problem 350 solution: This solution was submitted by Michael Tsourakakis from Greece
ReplyDeleteThanks Mixalis.
Per the result of problem 349 we have GE=RM
ReplyDeleteWe have BG=BM
BR=BM-RM
But BM=BG and RM= EG so BR= BE
So BE=BR=BT
And B is the center of circumcircle of triangle ERT
So central angle ABD= 2 x inscribed angle ETR