BdMO National Secondary 2010#5

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samiul_samin
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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 $\angle C$.

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samiul_samin
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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
Screenshot_2019-02-23-11-00-10-1.png (17.74 KiB) Viewed 860 times

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