257
Chapter 8
59.
Two angles are given, 60° and 90°, so this is a
30°60°90° triangle. The shorter leg is half the
length of the hypotenuse, and the longer leg is
3 times the length of the shorter leg. Therefore,
x
16
3 and
y
16.
60.
Determine the slopes of
AB
and
BC
.
slope of
AB
¬
y
x
2
2
y
x
1
1
¬
3
6
5
2
¬
1
2
slope of
BC
7
8
3
6
2
The product of the slopes of
AB
and
BC
is
1, so
AB
BC
.
61.
Determine the slopes of
AB
and
BC
.
slope of
AB
¬
y
x
2
2
y
x
1
1
¬
0
7
(
2
1)
¬
5
slope of
BC
1
4
7
0
3
2
The product of the slopes of
AB
and
BC
is not
1,
so
AB
is not perpendicular to
BC
.
62.
Determine the slopes of
AB
and
BC
.
slope of
AB
¬
y
x
2
2
y
x
1
1
¬
7
5
4
0
¬
3
5
slope of
BC
3
8
7
5
4
3
The product of the slopes of
AB
and
BC
is not
1,
so
AB
is not perpendicular to
BC
.
63.
Determine the slopes of
AB
and
BC
.
slope of
AB
¬
y
x
2
2
y
x
1
1
¬
1
3
(
(
2
5
)
)
¬
2
3
slope of
BC
0
1
(
3
1
)
3
2
The product of the slopes of
AB
and
BC
is
1, so
AB
BC
.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles, Slope, Trigraph, Quadrilateral

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