Download 7-1 Skills Practice

______________________________________
__________
NAME
7-1
DATE
____
PERIOD
Skills Practice
Geometric Mean
Find the geometric mean between each pair of numbers. State exact answers and
answers to the nearest tenth.
1, 2 and 8
2. 9 and 36
& 4 and 7
4. 5 and 10
5. 2\’2 and 5\/2
6. 3\’5 and 5V5
Find the measure of each altitude. State exact answers and answers to the nearest
tenth.
8.
9
.
E2H
10.
s
T
G
Find x and y.
11.
12.
13.
14.
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PERIOD
DATE
NAME
I Study Guide and Intervention
(continued)
r
Special Right Triangles
Properties of 300_600_900 Triangles The sides of a 3O06O09O0 right triangle also
have a special relationship.
Excun pie I
In a 3O0.6O09O0 right triangle, show that the
hypotenuse is twice the shorter leg and the longer leg is V times
the shorter leg.
/.MNQ is a 3O06O09O0 right triangle, and the length of the
hypotenuse MN is two times the length of the shorter side NQ.
Using the Pythagorean Theorem,
2 = (2x) 2
a
2
4X
=
—
2
X
-1
60°
M
2x6
1MNP is an equilateral
triangle.
1MNQ is a 3O°-6O°-9O
right triangle.
x\/i
Exrnpie 2
In a 30°-60°-90° right triangle, the hypotenuse is 5 centimeters.
Find the lengths of the other two sides of the triangle.
If the hypotenuse of a 30°-60°-90° right triangle is 5 centimeters, then the length of the
shorter leg is half of 5 or 2.5 centimeters. The length of the longer leg is \/ times the
length of the shorter leg, or (2.5)(V’) centimeters.
Cxertie5
Findxandy.
2.
1.
3.
5.
9J
12
7. The perimeter of an equilateral triangle is 32 centimeters. Find the length of an altitude
of the triangle to the nearest tenth of a centimeter.
8. An altitude of an equilateral triangle is 8.3 meters. Find the perimeter of the triangle to
the nearest tenth of a meter.
© Glencoe/McGraw-HiII
364
Glencoe Geometry
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NAME
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DATE
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PERIOD
I Skills Practice
Trigonometry
UsetRSTtoflndsinR,cosR,tanR,sinS,cosS,andtanS.
Express each ratio as a fraction and as a decimal to the
nearest hundredth.
1. r
=
16, s
=
30, t
=
2. r
34
=
10, s
=
24, t
—
=
R
26
s
Ir
MT
Use a calculator to find each value. Round to the nearest ten-thousandth.
3. sin 5
4. tan 23
5. cos 61
6. sin 75.8
7. tan 17.3
8. cos 52.9
Use the figure to find each trigonometric ratio. Express
answers as a fraction and as a decimal rounded to the
nearest ten-thousandth.
9. tan C
10. sin A
B
9
A
C
11. cos C
Find the measure of each acute angle to the nearest tenth of a degree.
12. sin B
=
15. tan C
=
0.2985
13. tan A
=
0.4168
14. cos R
=
0.8443
0.3894
16. cos B
=
0.7329
17. sinA
=
0.1176
Find x. Round to the nearest tenth.
AB
@ Glencoe/McGraw-HIII
AB
371
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Glencoe Geometry
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Kuta SoFtware
In! mite AI,.ehra I
Nan ic
Using Trigonometry To Find Lengths
Date
Find the missing side. kound to the nearest tenth.
I)
jX
27’
-25
10
3)
10
4)
/1
7,
/Z30
x
5)
6)
—
ix
7)
20
V
Period
10)
9)
/1
19/ 40
31
10
x
II)
12)
—
/
/
38
741 9
/20
x
x
NJ
14)
13)
18
16)
15)
22
/
17)
18)
37
2—
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Kuii SoI1 are
—
Name
Infinite AIchra I
Using Trigonoirietry to Find Angle Measures
E)ate
Find each angle nicasure to the nearest degree.
I) tan A
2.0503
2) cosZO,1219
3) tan Y
=
0.6494
4) sin U=0.1746
cos V
=
0.62()
6) sin C
=
0.2756
Find the measure of the indicated angle to the nearest degree.
7)
19
55/51
/7
9)
1
34
/114
12)
II)
29
_1
38
14)
13)
A
42
Period
C.)
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7
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Tuft
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td
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at
ft
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Name:
Period:
Date:
Score:
Solve Right Triangle Worksheet
Solve each right triangle described, given the triangle below. Round angle measure to nearest degree and
side measures to the nearest tenth.
B
1. a=9,Bt49°
a
C
2.
b
B=64°,b=19.2
3. A16°,c14
4. a=0.4,c=O.5
5. a=2,b=7
Snivp Rioht Tricnolp W
I
1crm A
A
Date:
Score:
Name:
Period:
Law of Sines/Cosines Worksheet
measure to nearest degree and side measures
angle
Round
triangle.
Solve each
1, A=42°,b=i2Oc=12O
c nearest tenth.
2. b=4l,A=33°B=29°
3, A38°B63°,c 15
4. A53°b4O,c=49
Law of Sine/Cosine WS
I
Eorm A
)
t
to)
iF
a
nWrl
OX
I
S
I
1
ts
gI
t
t
I’
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p
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r
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