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If Ge=46 and dh=15 find gf

If Ge=46 and dh=15 find gf-example-1

2 Answers

3 votes

Answer:

GF=26.4

Explanation:

21^2+16^2=C^2

441+256=c^2

697=c^2

GF=26.4

I hope this helps

User Hkachhia
by
8.4k points
3 votes
we have that
GE=46
DH=15
GF=?

we know that
the rhombus has two perpendicular diagonals
and
GE=GH+HE
GH=HE
DF=DH+HF
DH=HF
so
GE=46------------> GH=46/2------------> GH=23
DH=15-------------> HF=15

so
applying the Pythagorean theorem

GF
²=GH²+HF²----------> 23²+15²----------> 754

GF=
√754----------> GF=27.46 in

the answer is
GF=27.46 in


User Aleksey Vitebskiy
by
8.6k points