Question

C is the midpoint of Segment AB, D is the midpoint of Segment AC, E is the midpoint of Segment AD, F is the midpoint of Segment ED, G is the midpoint of Segment EF, and H is the midpoint of Segment DB. If DC= 40, what is GH

Answer 1

check the picture below.

Answer 2

Answer:

GH is 5 unit.

Step-by-step explanation:

Given,

C is the midpoint of Segment AB,

$\implies AC=CB=\frac{AB}{2}$

D is the midpoint of Segment AC,

$\implies AD = DC =\frac{AC}{2}----(1)$

E is the midpoint of Segment AD,

$\implies AE=ED=\frac{AD}{2}-----(2)$

F is the midpoint of Segment ED,

$\implies FE=FD=\frac{ED}{2}----(3)$

G is the midpoint of Segment EF,

$\implies EG=GF=\frac{EF}{2}-----(4)$

H is the midpoint of Segment DB,

$\implies DH=HB=\frac{DB}{2}$

Given, DC = 40 unit,

⇒ AD = 40 unit, ( From equation (1) )

⇒ ED = $\frac{40}{2}$ = 20 unit, ( From (2) )

⇒ EF = $\frac{20}{2}$ = 10 unit, ( From (3) )

⇒ GF = $\frac{10}{2}$ = 5 unit  ( From (4) )