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33. Given:
n
ABC
with angle bisectors
AD
#$
,BE
#$
, and
CF
#$
,
K
w
P
w
'
A
w
B
w
,
K
w
Q
w
'
B
w
C
w
,
K
w
R
w
'
A
w
C
w
Prove:
KP
5
KQ
5
KR
Proof:
34.
The flag is located at the intersection of the angle
bisector between Amesbury and Stearns Roads
and the perpendicular bisector of the segment
joining Grand Tower and the park entrance.
35.
}
16
1
2
3
1
(
2
6)
} 5
4
36.
}
8
1
4
3
1
12
} 5
8
37.
38.
The centroid has the same coordinates as the
means of the vertices’ coordinates.
39.
The altitude will be the same for both triangles,
and the bases will be congruent, so the areas will
be equal.
40.
Sample answer: You can balance a triangle on a
pencil point by locating the center of gravity of
the triangle. Answers should include the
following.
•centroid
•
41.
C;
GJ
5
JH
, so
J
is the midpoint of
GH
and
F
w
J
w
is a median of
n
FGH
.
42.
D;
3
x
5
¬
0.3
y
10.0
x
5
¬
y
10.0
5
¬
}
y
x
}
Page 245
Maintain Your Skills
43.
Sample answer:
• Use the origin as vertex
A
of the triangle.
• Place side
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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