Jump to content
Sign in to follow this  
-_-

APMO 2016 No 1 - Segitiga imba

Recommended Posts

Sebutlah segitiga $ABC$ imba jika untuk setiap titik $D$ di sisi $BC$, jika $P$ dan $Q$ masing-masing adalah proyeksi $D$ ke garis $AB$ dan $AC$, refleksi $D$ terhadap garis $PQ$ berada di lingkaran luar segitiga $ABC$.

Buktikan segitiga $ABC$ imba jika dan hanya jika $\angle{A}=90$ dan $AB=AC$.

 

NB: di terjemahan Indonesia pas kontes "great" diterjemahkan jadi "hebat" ._.

Edited by -_-

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this  

×