46.
If
n
ABC
,
n
ADE
then
5
.Plot point
E
so that
B
w
C
w
±
D
w
E
w
and the proportion is true.
AB
5
¬
Ï
[
2
2
2
w
(
2
10
w
)]
2
1
(
w
4
2
6)
w
2
w
5
¬
Ï
8
2
1
(
w
2
2)
2
w
5
¬
Ï
68
w
or 2
Ï
17
w
AD
5
¬
Ï
[6
2
(
w
2
10)]
w
2
1
(2
w
2
6)
2
w
5
¬
Ï
16
2
1
w
(
2
4)
2
w
5
¬
Ï
272
w
or 4
Ï
17
w
}
A
A
D
B
}
5
}
2
4
Ï
Ï
1
1
7
w
7
w
}
or
}
1
2
}
,so
DE
5
2(
BC
). To get
from point
B
to point
C
,move down 6 units and
then move left 2 units. To get from point
D
to
point
E
,move down 12 units and then move left
4 units. Locate point
E
at (2,
2
10).
47.
n
ABC
,
n
ACD
by AA Similarity.
n
ABC
,
n
CBD
by AA Similarity.
n
ACD
,
n
CBD
by AA Similarity.
48.
Sample answer: Engineers use triangles, some the
same shape, but different in size, to complete a
project. Answers should include the following.
• Engineers use triangles in construction because
they are rigid shapes.
• With the small ground pressure, the tower does
not sink, shift, lean, or fall over.
49.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Trigraph, Euclidean geometry, AA Similarity

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