Chapter 7 Review
Name:
1.
If two legs of a right triangle are 9 and 11, the
hypotenuse is
A.
2.
20
B.
2
C.
40
D.
5.
p
202
p
208
B.
p
80
C.
p
20
A.
4.9
B.
8.6
C.
9.0
D. 12.0
D. 4
Which set of numbers could not represent the
lengths of the sides of a right triangle?
A.
f3; 4; 5g
B.
C.
f5; 12; 13g
D. f8; 15; 17g
6.
Point P has coordinates ( 12; 5). What is its
distance from the origin?
7.
Which set of numbers represents the lengths of the
sides of a right triangle?
f6; 9; 12g
8.
4.
The end of a dog's leash is attached to the top of
a 5-foot-tall fence post, as shown in the diagram
below. The dog is 7 feet away from the base of
the fence post.
How long is the leash, to the nearest tenth of a
foot?
In a right triangle, the length of the hypotenuse is
12 and the length of one leg is 8. What is the
length of the other leg?
A.
3.
Date:
How many feet from the base of a house must a
39-foot ladder be placed so that the top of the
ladder will reach a point on the house 36 feet
from the ground?
page1
A.
p
2; 6; 40
B.
C.
p
4; 6; 40
D. f4; 36; 40g
f2; 18; 20g
In the accompanying diagram, CD is an altitude
of ^ABC. If CD = 8, mOA = 45, and mOB = 30,
nd the perimeter of ^ABC in simplest radical
form.
9.
A communications company is building a 30-foot
antenna to carry cell phone transmissions. As
shown in the diagram below, a 50-foot wire from
the top of the antenna to the ground is used to
stabilize the antenna.
11.
A tree casts a 25-foot shadow on a sunny day, as
shown in the diagram below.
If the angle of elevation from the tip of the
shadow to the top of the tree is 32 , what is the
height of the tree to the nearest tenth of a foot?
Find, to the nearest degree, the measure of the
angle that the wire makes with the ground.
A.
12.
10.
13.2
B.
15.6
C.
21.2
D. 40.0
The center pole of a tent is 8 feet long, and a side
of the tent is 12 feet long as shown in the diagram
below.
In the accompanying diagram of rectangle ABCD,
DE is perpendicular to diagonal AC. If AE = 3
and EC = 9, what is the length of AD ?
A.
p
C.
5
27
B.
If a right angle is formed where the center pole
meets the ground, what is the measure of angle A
to the nearest degree?
6
D. 4
A.
13.
B.
42
C.
48
D. 56
If the perimeter of an equilateral triangle is 18,
the length of the altitude of this triangle is
A.
page2
34
6
B.
p
6 3
C.
3
p
D. 3 3
Chapter 7 Review
14.
As seen in the accompanying diagram, a person
can travel from New York City to Bu alo by
going north 170 miles to Albany and then west
280 miles to Bu alo.
16.
In the accompanying diagram of rectangle ABCD,
AC = 22 and mOCAB = 24.
a) Find AB to the nearest integer.
b) Find BC to the nearest integer.
c) Using the results from parts a and b, nd the
number of square units in the area of ABCD.
a) If an engineer wants to design a highway to
connect New York City directly to Bu alo,
at what angle, x, would she need to build
the highway? Find the angle to the nearest
degree.
17.
b) To the nearest mile, how many miles would
be saved by traveling directly from New York
City to Bu alo rather than by traveling rst
to Albany and then to Bu alo?
In the diagram below of right triangle ACB,
altitude CD is drawn to hypotenuse AB .
If AB = 36 and AC = 12, what is the length of
AD ?
A.
15.
In the diagram below, ^ RST is a 3-4-5 right
triangle. The altitude, h, to the hypotenuse has
been drawn. Determine the length of h.
18.
32
B.
6
C.
3
D. 4
In the diagram below of right triangle ABC, CD
is the altitude to hypotenuse AB, CB = 6, and
AD = 5.
What is the length of BD ?
A.
page3
5
B.
9
C.
3
D. 4
Chapter 7 Review
19.
A base angle of an isosceles triangle measures
30 , and the length of one of the legs is 12. What
is the length of the altitude drawn to the base of
the triangle?
A.
20.
p
6 3
B.
12
C.
6
23.
Find, to the nearest tenth, the distance between the
points (1; 3) and ( 2; 0).
24.
In the diagram below, the length of the legs
AC and BC of right triangle ABC are 6 cm and
8 cm, respectively. Altitude CD is drawn to the
hypotenuse of ^ABC.
D. 9
In the accompanying diagram, the altitude to
the hypotenuse of the right triangle divides the
hypotenuse into two segments of lengths 3 and 12.
What is the length of the altitude?
What is the length of AD to the nearest tenth of a
centimeter?
A.
21.
3.6
B.
6.0
C.
6.4
D. 4.0
In right triangle BCD, BD = 12, mO C = 90, and
mODBC = 47. Find DC to the nearest tenth.
25.
In the accompanying diagram of right triangle RST,
altitude SW is drawn to hypotenuse RT, ST = 12,
RW = 10, and WT = x.
a) Find x. [Only an algebraic solution will be
accepted.]
22.
What is the distance, in radical form, between the
points (4; 6) and (8; 2)?
b) Find SW to the nearest integer.
page4
Chapter 7 Review
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Chapter 7 Review
04/25/2013
1.
Answer:
D
20.
Answer:
6
2.
Answer:
B
21.
Answer:
8.8
3.
Answer:
B
22.
Answer:
p
4 5
4.
Answer:
15
23.
Answer:
4.2
5.
Answer:
B
24.
Answer:
A
6.
Answer:
13
25.
Answer:
8; 9
7.
Answer:
A
8.
Answer:
p
p
24 + 8 2 + 8 3
9.
Answer:
37
10.
Answer:
B
11.
Answer:
B
12.
Answer:
B
13.
Answer:
D
14.
Answer:
59; 122
15.
Answer:
2.4
16.
Answer:
20; 9; 180
17.
Answer:
D
18.
Answer:
D
19.
Answer:
C