Guys I have a very obvious query , but still I want to ask you all if this is true or not:

If a triangle has its circumcenter on one of its sides , then it is a right angled triangle.

Please tell me if this is true or not , since I am working to construct a problem. (Most probable TONCAS) . Thanks!

## Comments

Sort by:

TopNewestYes, Let the triangle be ABC and let the circumcentre O lie on BC. Now OB=OC. Thus O is the midpoint of BC and OA=OB=OC. Thus A=90(Simple angle chasing) – Pranav Kirsur · 2 years, 4 months ago

Log in to reply

– Nihar Mahajan · 2 years, 4 months ago

Yeah I got it too. Also , I got a my own TONCAS problem! Trying to prove it... :DLog in to reply

– Pranav Kirsur · 2 years, 4 months ago

Which daily workout are you on?Log in to reply

– Nihar Mahajan · 2 years, 4 months ago

Nope , I didn't start it. I am just trying to find TONCAS .. as told in workout no . 2Log in to reply