# Expert Answers

Question 1

Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches

A. 32 square inches

B. 34 square inches

C. 11 square inches

D. 12 square inches

E. 10 square inches

Question 2

Given two sides and an angle of a triangle. Solve the triangle.A = 15°, a = 30, b = 30

A. B = 15°,C = 60°, c = 22.5

B. B = 150°,C = 15°, c = 57.96

C. B = 15°, C = 150°, c = 57.96

D. B = 150°,C = 15°, c = 22.5

E. No triangle

Question 3

A triangle has sides a = 6, c = 8, and angle B = 125° Determine angle A.

A. A = 20.66°

B. A = 25.55°

C. A = 21.67°

D. A = 20.70°

E. A = 23.25°

Question 4

A. A = 58.0°, B = 34.77°, C = 87.42°

B. A = 35°, B = 86°, C = 59°

C. A = 48.8°, B = 34.77°, C = 66.42°

D. A = 35.8°, B = 59.5°, C = 86.7°

E. A = 58.8°, B = 34.77°, C = 86.42°

Question 5

Given two sides and an angle of a triangle. Solve the triangle.B = 85°, b = 5, a = 25

A. A = 41°, C = 57°, c = 30

B. No triangle

C. A = 40°, C = 57°, c = 30

D. A = 42°, C = 57°, c = 34

E. A = 40°, C = 57°, c = 32

Question 6

Given a triangle has sides a = 13 ft, b = 14 ft, c = 14 ft.Determine the area of the triangle, rounded to nearest whole number.

A. 91 square feet

B. 87 square feet

C. 81 square feet

D. 90 square feet

E. 84 square feet

Question 7

Given a triangle has sides a = 6 ft, b = 15 ft, c = 12 ft. Determine the area of the triangle. , rounded to nearest whole number.

A. 32 square feet

B. 34 square feet

C. 24 square feet

D. 22 square feet

E. 31 square feet

Question 8

A. A = 125°, B = 24°, C = 31°

B. A = 125°, B = 31°, C = 24°

C. A = 31°, B = 125°, C = 24°

D. None of the Above.

E. A = 31°, B = 24°, C = 125°

Question 9

Find the area of the triangle having the given measurements. Round to the nearest square unit.B = 20°, a = 7 meters, c = 12 meters

A. None of the above

B. 13 square meters

C. 16 square meters

D. 11 square meters

E. 14 square meters

Question 10

A surveyor calculates the area of a triangular shape lot by measuring the 3 sides. If side a = 150 feet , side b = 200 feet, and side c = 100, determine the area of the lot.

A. 3,051.85 square feet.

B. 7,261.84 square feet.

C. 8,051.85 square feet.

D. 5,061.65 square feet.

E. 3,055.85 square feet.

Question 11

If a triangle has sides a = 6, b = 15, c = 12, determine angle C.

A. C = 49.46°

B. C = 19.65°

C. C = 84.77°

D. C = 86.35°

E. C = 55.56°

Question 12

A triangle has the following measurements: A = 25°, B = 50°, c = 20. Determine the lengths of sides a and b.

A. a = 12.1, b = 21.5

B. None of the above

C. a = 8.75, b = 15.86

D. a = 60, b = 33.9

E. a = 21.5, b = 12.1

Question 13

Given a triangle has angles A = 35° and C = 80°, determine angle B.

A. B = 55°

B. B = 55°

C. B = 55°

D. B = 50°

E. B = 65°

Question 14

A triangle has the following measurements: B = 30° C = 110° b = 40. Determine angle A and the length of side a.

A. A= 40° a = 60.5

B. A= 40° a = 51.42

C. A= 40° a = 20.4

D. A= -40° a = 60.5

E. A= -40° a = 21.4

Question 15

A triangle has the following measurements: A = 10°, C = 140°, a = 50. Determine angle B and the lengths of side b.

A. B = 37.2°, b = 27.9

B. B = 36.8°, b = 267.7

C. B = 37.2°, b = 334.2

D. B = 30°, b = 143.97

E. None of the above

Question 16

A painter needs to cover a triangular region 65 feet by 50 feet by 60 feet.If a can of paint covers 50 square feet. What is the least number of cans that will be needed?

A. 36

B. 28

C. 29

D. 27

E. 30

Question 17

A triangle has sides a = 5, b = 5, c = 15, determine the three angles.

A. A = 78°, B = 78°, C = 24°

B. A = 34°, B = 78°, C = 78°

C. A = 39°, B = 79°, C = 22°

D. A = 78°, B = 24°, C = 78°

E. No Triangle

Question 18

A triangle has sides a = 7, b = 9, and angle C = 100°. Determine side c.

A. c = 10.52

B. c = 12.32

C. c = 16.0

D. c = 16.4

E. c = 19.3

Question 19

Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3

A. A = 90°, C = 30°

B. B = 68.69°, C = 30.31°

C. B = 88.69°, C = 31.31°

D. B = 88.69°, C = 30.31°

E. A = 41°, C = 57°,

Question 20

A triangle has the following measurements: A = 120° B = 40° c = 7. Determine side a.

A. a = 6.55

B. a = 3.38

C. a = 13.16

D. a = 17.72

E. a = 3.38

Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches

A. 32 square inches

B. 34 square inches

C. 11 square inches

D. 12 square inches

E. 10 square inches

Question 2

Given two sides and an angle of a triangle. Solve the triangle.A = 15°, a = 30, b = 30

A. B = 15°,C = 60°, c = 22.5

B. B = 150°,C = 15°, c = 57.96

C. B = 15°, C = 150°, c = 57.96

D. B = 150°,C = 15°, c = 22.5

E. No triangle

Question 3

A triangle has sides a = 6, c = 8, and angle B = 125° Determine angle A.

A. A = 20.66°

B. A = 25.55°

C. A = 21.67°

D. A = 20.70°

E. A = 23.25°

Question 4

A. A = 58.0°, B = 34.77°, C = 87.42°

B. A = 35°, B = 86°, C = 59°

C. A = 48.8°, B = 34.77°, C = 66.42°

D. A = 35.8°, B = 59.5°, C = 86.7°

E. A = 58.8°, B = 34.77°, C = 86.42°

Question 5

Given two sides and an angle of a triangle. Solve the triangle.B = 85°, b = 5, a = 25

A. A = 41°, C = 57°, c = 30

B. No triangle

C. A = 40°, C = 57°, c = 30

D. A = 42°, C = 57°, c = 34

E. A = 40°, C = 57°, c = 32

Question 6

Given a triangle has sides a = 13 ft, b = 14 ft, c = 14 ft.Determine the area of the triangle, rounded to nearest whole number.

A. 91 square feet

B. 87 square feet

C. 81 square feet

D. 90 square feet

E. 84 square feet

Question 7

Given a triangle has sides a = 6 ft, b = 15 ft, c = 12 ft. Determine the area of the triangle. , rounded to nearest whole number.

A. 32 square feet

B. 34 square feet

C. 24 square feet

D. 22 square feet

E. 31 square feet

Question 8

A. A = 125°, B = 24°, C = 31°

B. A = 125°, B = 31°, C = 24°

C. A = 31°, B = 125°, C = 24°

D. None of the Above.

E. A = 31°, B = 24°, C = 125°

Question 9

Find the area of the triangle having the given measurements. Round to the nearest square unit.B = 20°, a = 7 meters, c = 12 meters

A. None of the above

B. 13 square meters

C. 16 square meters

D. 11 square meters

E. 14 square meters

Question 10

A surveyor calculates the area of a triangular shape lot by measuring the 3 sides. If side a = 150 feet , side b = 200 feet, and side c = 100, determine the area of the lot.

A. 3,051.85 square feet.

B. 7,261.84 square feet.

C. 8,051.85 square feet.

D. 5,061.65 square feet.

E. 3,055.85 square feet.

Question 11

If a triangle has sides a = 6, b = 15, c = 12, determine angle C.

A. C = 49.46°

B. C = 19.65°

C. C = 84.77°

D. C = 86.35°

E. C = 55.56°

Question 12

A triangle has the following measurements: A = 25°, B = 50°, c = 20. Determine the lengths of sides a and b.

A. a = 12.1, b = 21.5

B. None of the above

C. a = 8.75, b = 15.86

D. a = 60, b = 33.9

E. a = 21.5, b = 12.1

Question 13

Given a triangle has angles A = 35° and C = 80°, determine angle B.

A. B = 55°

B. B = 55°

C. B = 55°

D. B = 50°

E. B = 65°

Question 14

A triangle has the following measurements: B = 30° C = 110° b = 40. Determine angle A and the length of side a.

A. A= 40° a = 60.5

B. A= 40° a = 51.42

C. A= 40° a = 20.4

D. A= -40° a = 60.5

E. A= -40° a = 21.4

Question 15

A triangle has the following measurements: A = 10°, C = 140°, a = 50. Determine angle B and the lengths of side b.

A. B = 37.2°, b = 27.9

B. B = 36.8°, b = 267.7

C. B = 37.2°, b = 334.2

D. B = 30°, b = 143.97

E. None of the above

Question 16

A painter needs to cover a triangular region 65 feet by 50 feet by 60 feet.If a can of paint covers 50 square feet. What is the least number of cans that will be needed?

A. 36

B. 28

C. 29

D. 27

E. 30

Question 17

A triangle has sides a = 5, b = 5, c = 15, determine the three angles.

A. A = 78°, B = 78°, C = 24°

B. A = 34°, B = 78°, C = 78°

C. A = 39°, B = 79°, C = 22°

D. A = 78°, B = 24°, C = 78°

E. No Triangle

Question 18

A triangle has sides a = 7, b = 9, and angle C = 100°. Determine side c.

A. c = 10.52

B. c = 12.32

C. c = 16.0

D. c = 16.4

E. c = 19.3

Question 19

Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3

A. A = 90°, C = 30°

B. B = 68.69°, C = 30.31°

C. B = 88.69°, C = 31.31°

D. B = 88.69°, C = 30.31°

E. A = 41°, C = 57°,

Question 20

A triangle has the following measurements: A = 120° B = 40° c = 7. Determine side a.

A. a = 6.55

B. a = 3.38

C. a = 13.16

D. a = 17.72

E. a = 3.38

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