Scalene centre

[Ronanaron]

A triangle has sides x cms, x + 16 cms and x + 44 cms. Show that it's centre lies 32 cms from each side . I used Heron's to find the area, then ran out of ideas. Thanks.

 

[mmm4444bot]

What is "the center of a scalene triangle" ? :?

(I'm familiar with terms like centroid, circumcenter, incenter and orthocenter, etc.)