The midpoint of the sides of triangle abc are labeled d, e, and f. if the perimeter of triangle def is 24 find the perimeter of triangle abc.
a.48
b.72
c.96
d.120

Linking the midpoints of each side of a triangle cuts it into four smaller, mathematically similar versions of itself, the central of which is reflected vertically - ALWAYS. Therefore, the area scale factor of the new, smaller triangle to the original larger triangle, is 4.  would give the linear scale factor (the nth route of the area scale factor, where n is the dimension of operation), which is 2.
The original triangle must have a perimeter twice as long as the smaller triangle.
A - 48

The decimal expansion would be .27 repeated