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Mymensingh Selection round 2019 P5

Posted: Sat Mar 09, 2019 1:51 pm
by samiul_samin
In the figure shown below, $ABCDE$ is a regular pentagon and $AG=1$. What is $FG + JH + CD$?
Screenshot_2019-03-09-13-49-35-1.png
Screenshot_2019-03-09-13-49-35-1.png (16.69 KiB) Viewed 5124 times

Re: Mymensingh Selection round 2019 P5

Posted: Sat Mar 09, 2019 1:54 pm
by samiul_samin
Hint
Use $\phi$ as there is a pentagon!
Answer
$1+\sqrt 5$
Problem Source
AMC 2015 P22
Solution