Question

If $O$ and $O^{\prime }$ are circumcenter and orthocenter of a triangle $ABC$ then $(OA+OB+OC)$ equals

• A. $2O{O}^{\prime }$
• B. $O{O}^{\prime }$
• C. $O^{\prime }O$
• D. $2O^{\prime }O$

Answer 1

Answer: (B)

$O{O}^{\prime }$

according to the properties of triangle

circumcentre O in triangle ABC

the sum of distance from circumcentre to vertices of ABC is the distance from circumcentre to orthocentre

$(OA+OB+OC)=O{O}^{\prime }$