Not a big question...

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!

#Geometry

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Comments

Yes, 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 - 6 years, 2 months ago

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

Nihar Mahajan - 6 years, 2 months ago

Which daily workout are you on?

Pranav Kirsur - 6 years, 2 months ago

@Pranav Kirsur – Nope , I didn't start it. I am just trying to find TONCAS .. as told in workout no . 2

Nihar Mahajan - 6 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$