The apothem is perpendicular to a side and for a two right triangles

Step-by-step explanation:

An apothem is the altitude drawn form the side to the center of the polygon. It is perpendicular to the side. The apothems form n angles each of them 360/n. It can be used with the side to determine the area: nsa/2, where n = number of sides, s = length of side, a = apothem.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.