# Perpendicular bisectors of sides of a triangle are #y=-x+4#, #y=-3x+6# and #y=-1/2x+7/2#. What is its centroid?

##### 1 Answer

Jul 22, 2017

#### Explanation:

As all perpendicular bisectors of a triangle intersect each other at circumcenter, let us find it.

Equations

and as

graph{(y+x-4)(y+3x-6)(2y+x-7)=0 [-9.46, 10.54, -2.08, 7.92]}

The information is not sufficient to find centroid, which is the point of intersections of all medians.