We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=

. Hence CM=GC+GM=3*

. Now, since GM is normal to AB, we have by the pythagoeran theorem that:

Hence, we calculate from this that AC^2= 28, hence AC=2*

=BC. Thus, the perimeter of the triangle is 2+4*

.
1)Obtuse Triangle: A triangle with one obtuse angle.
2)Acute Triangle: A triangle where all three angles are acute.
3)Equiangular Triangle: A triangle where all the angles are congruent.
4)Isosceles Triangle: A triangle with at least two congruent sides.
5)Equilateral Triangle: A triangle with three congruent sides