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

GH is 5 unit.

Explanation:

Given,

C is the midpoint of Segment AB,

`\implies AC=CB=(AB)/(2)`

D is the midpoint of Segment AC,

`\implies AD = DC =(AC)/(2)----(1)`

E is the midpoint of Segment AD,

`\implies AE=ED=(AD)/(2)-----(2)`

F is the midpoint of Segment ED,

`\implies FE=FD=(ED)/(2)----(3)`

G is the midpoint of Segment EF,

`\implies EG=GF=(EF)/(2)-----(4)`

H is the midpoint of Segment DB,

`\implies DH=HB=(DB)/(2)`

Given, DC = 40 unit,

⇒ AD = 40 unit, ( From equation (1) )

⇒ ED =
`(40)/(2)` = 20 unit, ( From (2) )

⇒ EF =
`(20)/(2)` = 10 unit, ( From (3) )

⇒ GF =
`(10)/(2)` = 5 unit ( From (4) )