Jump to content
Sign in to follow this  
jayamahe

3 segitiga saling sinngung

Recommended Posts


Diberikan tiga buah lingkaran, $\omega_1, \omega_2, \omega_3$ yang saling bersinggungan luar. $P, Q, R$ berturut-turut merupakan titik singgung antara $\omega_1$ dan $\omega_2, \omega_1$ dan $\omega_3, \omega_2$ dan $\omega_3$. Sebuah titik $A$ terletak pada $\omega_1$.Garis $AP$ memotong $\omega_2$ di $B$ dan garis $AQ$ memotong $\omega_3$ di $C$. Misalkan $O_2$ dan $O_3$ berturut-turut merupakan  pusat $\omega_2$ dan $\omega_3$. Jika $M$ titik tengah segmen $BC$, buktikan bahwa $\angle{O_2 M O_3}=90^{\circ}$

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  

×