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 midpo
int of ef, and h is the midpoint of db. if dcequals=32, what is gh?
2 answers:
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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