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AMC 8
2015 AMC 8
6
Triangle ABC
Triangle ABC
Source: 2015 AMC 8 #6
November 25, 2015
AMC 8
geometry
2015 AMC 8
Problem Statement
In
△
A
B
C
\bigtriangleup ABC
△
A
BC
,
A
B
=
B
C
=
29
AB=BC=29
A
B
=
BC
=
29
, and
A
C
=
42
AC=42
A
C
=
42
. What is the area of
△
A
B
C
\bigtriangleup ABC
△
A
BC
?
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(
A
)
<
/
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>
100
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(
B
)
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420
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(
C
)
<
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500
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(
D
)
<
/
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>
609
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(
E
)
<
/
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p
a
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>
701
<span class='latex-bold'>(A) </span>100\qquad<span class='latex-bold'>(B) </span>420\qquad<span class='latex-bold'>(C) </span>500\qquad<span class='latex-bold'>(D) </span>609\qquad <span class='latex-bold'>(E) </span>701
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(
A
)
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>
100
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(
B
)
<
/
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p
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>
420
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=
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−
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>
(
C
)
<
/
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>
500
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p
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=
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x
−
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′
>
(
D
)
<
/
s
p
an
>
609
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=
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a
t
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x
−
b
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l
d
′
>
(
E
)
<
/
s
p
an
>
701
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