Question

in a triangle the orthocemter and the circumcenter are (-4,0) and (8,6) respectively the centroid is

Answer 1

Answer:

Please read about Euler's line and nine point circle for derivation

Step-by-step explanation:

O=>Orthocenter (-4,0)

G=> Centroid (x,y)

C=> Circumcenter (8,6)

the fact is that OG:GC=2:1(please refer above topics)

so using section formula,

we get $G=(\frac{-4(1)+2(8)}{2+1},\frac{0(1)+6(2)}{3})$

G=(4,4)