24.
The diagonals determine equilateral triangles
with sides equal to half the length of each
diagonal, or 6 inches. So
e
f
6, and
e
f
3.
Then
a
3(
e
) or 3
3, so
c
d
3
3. Then the
perimeter of the rectangle is 2(6)
2(3
3
3
3)
or 12
12
3
32.78 inches.
25.
Each side has measure
25
4
6
or 8. The length of a
diagonal is
2 times as long as a side of the square.
So the measure of a diagonal is 8
2
11.31.
26.
8
2
x
4
x
y
3(
x
)
y
3(4) or 4
3
z
6
Each leg of the 45°45°90° triangle has length
x
,
or 4. Then
CB
4
2. So, the perimeter of
ABCD
is 4
3
6
4
4
2
6
8
4
3
4
2
24, or about 36.59 units.
27.
Graph
A
and
B
.
AB
lies on a horizontal gridline of
the coordinate plane. Since
PB
will be
perpendicular to
AB
, it lies on a vertical gridline.
AB
4
(
3)
7
AB
and
PB
are congruent, so
PB
7. Point
P
has
the same
x
coordinate as
B
.
P
is located 7 units
above
B
. So, the coordinates of
P
are (4, 1
7) or
(4, 8).
28.
Graph
G
and
H
. If
GH
is the diagonal of a square
with vertices
P
,
G
, and
H
then the other diagonal
is perpendicular to and bisects
GH
.
GH
lies on a
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Geometry, Harshad number, Inch, Coordinate Plane, vertical gridline

Click to edit the document details