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15.
• Use the origin as vertex
Y
of the triangle.
• Place leg
Y
w
Z
w
of the triangle along the positive
x
axis.
• Position the triangle in the first quadrant.
• Since
X
is on the
y
axis, its
x
coordinate is 0. Its
y
coordinate is
b
because
X
w
Y
w
is
b
units long.
• Since
Z
is on the
x
axis, its
y
coordinate is 0. Its
x
coordinate is 2
b
because
XY
5
b
and
ZY
5
2(
XY
) or 2
b
.
16.
Since
n
PQR
is equilateral, the
x
coordinate of
R
is halfway between 0 and 2
a
, or
a
.So
,the
coordinates of
R
are (
a
,
b
).
17.
Since
n
LPQ
is right isosceles,
L
w
P
w
>
P
w
Q
w
and
L
w
P
w
'
P
w
Q
w
. Then
Q
and
P
have the same
x
coordinate, so the
x
coordinate of
P
is
a
.
P
is on
the
x
axis, so its
y
coordinate is 0. The distance
from
L
to
P
is
a
units. The distance from
P
to
Q
must be the same. So, the coordinates of
Q
are
(
a
,
a
) and the coordinates of
P
are (
a
,0).
18.
n
JKN
is isosceles, so
J
w
K
w
>
J
w
N
w
. The distance from
J
to
K
is 2
a
units. The distance from
J
to
N
must
be the same.
N
is on the
y
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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