Question

In ΔACB, M is the midpoint of AC, N is the midpoint of CB, and O is the midpoint of AB. If the perimeter of ΔNOM is 17, what is the perimeter of ΔACB?

Answer 1

It is actually a property (with hard proof), that the centroid of any triangle is also centroid of the triangle with vertices in the mid points of the sides of the original triangle.

So that means that
MN =AB/2
ON =AC/2
OM=BC/2

The rest is easy

Answer 2

Thanks so much :) Appreciate your time.

Answer 3

Welcome!