Test TUESDAY!! OMG

[hollerback1]

Hi, how do you construct a a circumcenter of a triangle? And a circumscribed circle?
Thanks.

 

[pka]

http://mathworld.wolfram.com/Circumcenter.html

 

[soroban]

Hello, hollerback1!

How do you construct a a circumcenter of a triangle?
And a circumscribed circle?

We have triangle \(\displaystyle ABC\).

Constuct the perpendicular bisector of side \(\displaystyle AB\)
\(\displaystyle \;\;\) and the perpendicular bisector of side \(\displaystyle BC\).
They will intersect at point \(\displaystyle O\), the circumcenter.

Distances \(\displaystyle OA,\,OB,\,OC\) will be equal.
\(\displaystyle \;\;\) Use \(\displaystyle r\,=\,OA\) for the radius and \(\displaystyle O\) for the center.
\(\displaystyle \;\;\)Draw the circle.