Question

if the orthocenter circumcenter of a triangle are (2 -3) , (5, 6) then the centroid is​

Answer 1

Answer:

(iii) 45 ... 3/5 = (3 × -7)/(5 × -7) = -(12/35 )

Answer 2

O is the circumcentre and O

′

is the orthocentre of the triangle.

Thus 2OD=AO

′

Therefore, 2

OD

=

AO

′

....(i)

Now take

AO

′

+

O

′

B

+

O

′

C

=2

AO

′

+(

O

′

A

+

O

′

B+

O

′

C

)

=2

AO

′

+2

O

′

O

=2

AO

=

AP

....where AP is the diameter through A of the circumcircle.