BdMO National Secondary 2010#5

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
Post Reply
samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm
BdMO National Secondary 2010#5

Unread post by samiul_samin » Fri Feb 22, 2019 11:25 pm

Triangle $ABC$ is right angled at $B$.The bisector of $\angle {BAC}$ meets $BC$ at $D$.Let $G$ denote the centroid (common point of medians) of the triangle $ABC$.Suppose $GD$ is parallel to $AB$ .Find $\angle C$.
Top
samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Secondary 2010#5

Unread post by samiul_samin » Sat Feb 23, 2019 11:03 am

Hint
Prove that $2BD=CD$
Answer
$30^{\circ}$
Diagram
Screenshot_2019-02-23-11-00-10-1.png
Top
Post Reply

Return to “National Math Olympiad (BdMO)”