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C is the midpoint of ab, d is the midpoint of ac ​, e is the midpoint of ad overbarad​, f is the midpoint of ed​, g is the midpoint of ef, and h is the midpoint of db. if dcequals=32​, what is​ gh?

Respuesta :

brainiac6644
=32 bruhh I really don't know this so can u get someone to help me because its not working or answering my questions

Answer:

The length of the GH is 60.

Step-by-step explanation:

From the figure:

AD = DC = 32

32 = AE + ED (E is the mid point of AD)

ED = AE = 16

AE = 16 = EF + FD (F is the mid point of ED)

EF = FD = 8  

EF = 8 = EG + GF (G is the mid point of EF)

EG = GF = 4

AC  = DC + AD (D is the mid point of AC)

AC = 32 + 32 = 64

AC = BC  (C is the mid point of AB)

BC = CH + HB

So, AC = CH + HB (AC = BC)

BD = DH + BH (H is the mid point of BD)

DH = CH + DC (from the figure)

AC = CH  + CH + DC

64 = 2CH + 32

CH = 16

GH = GF + FD + DC + CH

GH = 4 + 8+ 32 + 16 = 60

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