Chapter 2
26
PR
5
Ï
[6
2
(
w
2
1)]
2
w
1
(5
2
w
7)
2
w
5
Ï
7
2
1
(
w
2
2)
2
w
5
Ï
53
w
The lengths
PQ
,
QR
, and
PR
are all different, so
n
PQR
is a scalene triangle.
26.
A square has 4 congruent sides. From the name of
the square the sides are
H
w
I
w
,
I
w
J
w
,
J
w
K
w
, and
K
w
H
w
.
Thus,
HI
5
IJ
5
JK
5
KH
.
27.
A rectangle has 4 sides where opposite sides are
congruent. From the name of the rectangle the
sides are
P
w
Q
w
,
QR
ww
,
S
w
R
w
, and
P
w
S
w
. The pairs of
opposite sides are
P
w
Q
w
,
S
w
R
w
and
Q
w
R
w
,
P
w
S
w
. Thus,
PQ
5
SR
and
QR
5
PS
.
28.
A triangle that has a right angle is a right
triangle. The Pythagorean Theorem is true for
every right triangle. Since
/
B
is the right angle of
the triangle, the hypotenuse is
A
w
C
w
and the legs
are
A
w
B
w
and
B
w
C
w
.So (
AB
)
2
1
(
BC
)
2
5
(
AC
)
2
.
29.
False;
30.
False; if
y
5
7 and
m
5
5, then 7
1
5
$
10 and
5
$
4, but 7
µ
6.
31.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Pythagorean Theorem, Right triangle, Hypotenuse, triangle, Methane, Right angle

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