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AMC 12/AHSME
1982 AMC 12/AHSME
9
Dividing Area of a Triangle
Dividing Area of a Triangle
Source:
January 16, 2006
geometry
Problem Statement
A vertical line divides the triangle with vertices
(
0
,
0
)
(0,0)
(
0
,
0
)
,
(
1
,
1
)
(1,1)
(
1
,
1
)
, and
(
9
,
1
)
(9,1)
(
9
,
1
)
in the
x
y
-plane
xy\text{-plane}
x
y
-plane
into two regions of equal area. The equation of the line is
x
=
x=
x
=
(A)
2.5
(B)
3.0
(C)
3.5
(D)
4.0
(E)
4.5
\textbf {(A) } 2.5 \qquad \textbf {(B) } 3.0 \qquad \textbf {(C) } 3.5 \qquad \textbf {(D) } 4.0\qquad \textbf {(E) } 4.5
(A)
2.5
(B)
3.0
(C)
3.5
(D)
4.0
(E)
4.5
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