Question

Find the orthocentre of the triangle whose vertices are $(0,0),(3,0),(0,4)$ is $(a,b)$. Find $a+b$.

Answer 1

This is an equilateral triangle and because the orthocenter or equilateral triangle is its equilateral angle point

So, $(a,b)\Rightarrow (0,0)$

thus

$a+b=0+0=0$