Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the indicated angle or
side. Give an exact answer.
Find the exact length of side a.
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2.
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Find the indicated angle or
side. Give an exact answer.
Find the exact length of side a.
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3.
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Find the indicated angle or
side. Give an exact answer.
Find the exact length of side a.
a. | 9 | c. |  | b. | 7 | d. |  |
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4.
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Find the indicated angle or
side. Give an exact answer.
Find the measure of angle A in degrees.
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5.
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Find the indicated angle or
side. Give an exact answer.
Find the measure of angle A in degrees.
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6.
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Find the indicated angle or
side. Give an exact answer.
Find the measure of angle A in degrees.
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7.
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Find the missing parts of
the triangle. Round to the nearest tenth when necessary or to the nearest minute as
appropriate.
C =
112.9°
a = 8.4 km
b = 11.3 km
a. | c = 22.3 km, A =
26°, B = 41.1° | c. | c = 16.5 km, A = 28°, B =
39.1° | b. | No triangle satisfies the given conditions. | d. | c = 19.4 km, A = 30°, B =
37.1° |
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8.
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Find the missing parts of
the triangle. Round to the nearest tenth when necessary or to the nearest minute as
appropriate.
B =
63°30'
a = 12.2 ft
c = 7.8 ft
a. | b = 11.2 ft, A = 77°49', C
= 38°41' | c. | No triangle
satisfies the given conditions. | b. | b = 13.2 ft, A = 73°07', C =
37°23' | d. | b = 12.2 ft, A = 75°07', C
= 41°23' |
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9.
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Find the missing parts of
the triangle. Round to the nearest tenth when necessary or to the nearest minute as
appropriate.
C =
113.6°
a = 7.5 m
b = 9.6 m
a. | No triangle satisfies the given
conditions. | c. | c = 20.2 m,
A = 26.4°, B = 40° | b. | c = 17.3 m, A = 30.4°, B =
36° | d. | c = 14.4 m, A =
28.4°, B = 38° |
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10.
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Find the missing parts of
the triangle. Round to the nearest tenth when necessary or to the nearest minute as
appropriate.
a = 6.3
in.
b = 13.6 in.
c = 15.3 in.
a. | A = 26.3°, B =
60.6°, C = 93.1° | c. | No triangle satisfies the given conditions. | b. | A = 22.3°, B = 62.6°, C =
95.1° | d. | A = 24.3°, B =
62.6°, C = 93.1° |
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11.
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Find the missing parts of
the triangle. Round to the nearest tenth when necessary or to the nearest minute as
appropriate.
a = 26
ft
b = 39 ft
c = 40 ft
a. | A = 38.4°, B =
34.4°, C = 107.2° | c. | No triangle satisfies the given conditions. | b. | A = 68.7°, B = 38.4°, C =
72.9° | d. | A = 38.4°, B =
68.7°, C = 72.9° |
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12.
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Find the missing parts of
the triangle. Round to the nearest tenth when necessary or to the nearest minute as
appropriate.
AB = 321
yd
AC = 188 yd
BC = 161 yd
a. | A = 25.1°, B =
21.3°, C = 133.6° | c. | No triangle satisfies the given conditions. | b. | A = 21.3°, B = 12.6°, C =
146.1° | d. | A = 21.3°, B =
25.1°, C = 133.6° |
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13.
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Find the area of triangle
ABC with the given parts. Round to the nearest tenth when necessary.
a = 13.6 cm
b = 18.4 cm
c = 15.3
cm
a. | 102 cm2 | c. | 111 cm2 | b. | 108 cm2 | d. | 105 cm2 |
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14.
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Find the area of triangle
ABC with the given parts. Round to the nearest tenth when necessary.
a = 153 m
b = 161 m
c = 171
m
a. | 14,058  | c. | 722  | b. | 16,869  | d. | 11,246  |
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15.
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Find the area of triangle
ABC with the given parts. Round to the nearest tenth when necessary.
a = 46 ft
b = 54 ft
c = 62
ft
a. | 1508  | c. | 1206  | b. | 134  | d. | 1809  |
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16.
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Two ships leave a harbor
together traveling on courses that have an angle of 129° between them. If they each
travel 505 miles, how far apart are they (to the nearest mile)?
a. | 912 mi | c. | 435 mi | b. | 1824 mi | d. | 41 mi |
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17.
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Two airplanes leave an airport
at the same time, one going northwest (bearing 135°) at 414 mph and the other going east
at 343 mph. How far apart are the planes after 4 hours (to the nearest
mile)?
a. | 2197 mi | c. | 2800 mi | b. | 700 mi | d. | 2330 mi |
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18.
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Find the area of a triangular
garden if the sides are approximately 7 feet, 8 feet, and 14 feet (to the nearest
square foot).
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19.
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Tia is going to stain her
triangular concrete patio. The patio is approximately 10 feet by 17 feet by 13
feet. If one can of stain covers 17  , how many cans of stain
will she need?
a. | 65 cans | c. | 4 cans | b. | 1 cans | d. | 51 cans |
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20.
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A painter needs to cover
a triangular region 61 meters by 69 meters by 72 meters. A can of paint
covers 70 square meters. How many cans will be needed?
a. | 28 cans | c. | 318 cans | b. | 14 cans | d. | 3 cans |
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21.
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A stained glass window is
composed of 20 triangular sections, each with sides 4, 7, and 7 in. Find the
total area of the window (to the nearest square inch).
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