Free Printable TRIANGLE SOLUTION

1.

Which method would you use to solve for BC?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

2.

Which method would you use to solve for AC?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

3.

Which method would you use to solve for $\angle B$ ?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

4.

Which method would you use to solve for c?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

5.

Which method would you use to solve for y?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

6.

Which method would you use to solve for $\angle A$ ?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

7.

Which method would you use to solve for AB?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

8.

Which method would you use to solve for the third side?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

9.

Which method would you use to solve for x?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

10.

Which method would you use to solve for AB?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

11.

Which method would you use to solve for $\angle G$ ?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

12.

Which method would you use to find the distance between the two points?

a)

Law of Sines

b)

Pythagorean Theorem

c)

Law of Cosines

d)

SOHCAHTOA

13.

Calculate the length of KL

a)

16 cm

b)

15 cm

c)

16.40cm

d)

16.26 cm

14.

Calculate the length of AC

a)

4.5 cm

b)

4.6 cm

c)

4.517 cm

d)

4.671 cm

15.

Find ∠DFE

a)

11.09°

b)

11.00°

c)

12.00°

16.

Find ∠KLM

a)

27.36°

b)

27.3°

c)

27.4°

17.

Find ∠PQR

a)

94°

b)

88.21°

c)

94.15°

18.

Find the length of $AC.$
Cari panjang $AC.$

a)

$7.297\ cm$

b)

$8.478\ cm$

c)

$11.0\ cm$

d)

$11.349\ cm$

19.

Find the length of $BD.$
Cari panjang bagi $BD.$

a)

$5.786\ cm$

b)

$8.578\ cm$

c)

$11.349\ cm$

d)

$12.241\ cm$

20.

$BCD$ is a straight line. Find $\angle ABC.$

$BCD$ ialah garis lurus. Cari $\angle ABC.$

a)

$33\degree39'$

b)

$21\degree46'$

c)

$66\degree42'$

d)

$129\degree16'$

21.

$ABC$ is a straight line. Find the length of $BC.$
$ABC$ ialah garis lurus. Cari panjang $BC.$

a)

$3.455\ cm$

b)

$3.571\ cm$

c)

$3.745\ cm$

d)

$3.815\ cm$

22.

Find $\angle PQR.$
Cari $\angle PQR.$

a)

$82\degree6'$

b)

$86\degree25'$

c)

$87\degree21'$

d)

$89\degree41'$

23.

Find the value of x

a)

7.5 cm

b)

7.475 cm

c)

7.4 cm

d)

7.574 cm

24.

a)

35.24

b)

32.54

c)

34.25

d)

35.42

25.

Find the value of x

a)

9.946 cm

b)

10.00 cm

c)

9.00 cm

d)

9.649 cm

26.

Calculate the length of KL

a)

16 cm

b)

15 cm

c)

16.40cm

d)

16.26 cm

27.

Calculate the length of AC

a)

4.5 cm

b)

4.6 cm

c)

4.517 cm

d)

4.671 cm

28.

Find ∠DFE

a)

11.09°

b)

11.00°

c)

12.00°

29.

Find ∠KLM

a)

27.36°

b)

27.3°

c)

27.4°

30.

Find ∠PQR

a)

94°

b)

88.21°

c)

94.15°

31.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

32.

Find the length of $AC.$
Cari panjang $AC.$

a)

$7.297\ cm$

b)

$8.478\ cm$

c)

$11.0\ cm$

d)

$11.349\ cm$

33.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

34.

Find the length of $BD.$
Cari panjang bagi $BD.$

a)

$5.786\ cm$

b)

$8.578\ cm$

c)

$11.349\ cm$

d)

$12.241\ cm$

35.

$BCD$ is a straight line. Find $\angle ABC.$

$BCD$ ialah garis lurus. Cari $\angle ABC.$

a)

$33\degree39'$

b)

$21\degree46'$

c)

$66\degree42'$

d)

$129\degree16'$

36.

$ABC$ is a straight line. Find the length of $BC.$
$ABC$ ialah garis lurus. Cari panjang $BC.$

a)

$3.455\ cm$

b)

$3.571\ cm$

c)

$3.745\ cm$

d)

$3.815\ cm$

37.

Find $\angle PQR.$
Cari $\angle PQR.$

a)

$82\degree6'$

b)

$86\degree25'$

c)

$87\degree21'$

d)

$89\degree41'$

38.

Find the value of x

a)

7.5 cm

b)

7.475 cm

c)

7.4 cm

d)

7.574 cm

39.

a)

35.24

b)

32.54

c)

34.25

d)

35.42

40.

Find the value of x

a)

9.946 cm

b)

10.00 cm

c)

9.00 cm

d)

9.649 cm

41.

Using Heron's Formula, find the Area.

a)

56

b)

28

c)

24.2

d)

104.4

42.

What is the Semi-perimeter.

a)

42.1

b)

21.1

c)

14

d)

84.2

43.

The sides of a triangle are 15 cm, 17 cm and 8 cm. What is its area?

a)

$20\ cm^2$

b)

$40\ cm^2$

c)

$60\ cm^2$

d)

$80\ cm^2$

44.

What is this triangle?

a)

Right triangle

b)

Obtuse triangle

c)

Isosceles triangle

d)

Acute triangle

45.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

46.

solve for c

a)

7

b)

9

c)

4

d)

13

47.

Calculate the length of KL

a)

16 cm

b)

15 cm

c)

16.40cm

d)

16.26 cm

48.

Calculate the length of AC

a)

4.5 cm

b)

4.6 cm

c)

4.517 cm

d)

4.671 cm

49.

Find ∠DFE

a)

11.09°

b)

11.00°

c)

12.00°

50.

Find ∠KLM

a)

27.36°

b)

27.3°

c)

27.4°

51.

Calculate the length of KL

a)

16 cm

b)

15 cm

c)

16.40cm

d)

16.26 cm

52.

Calculate the length of AC

a)

4.5 cm

b)

4.6 cm

c)

4.517 cm

d)

4.671 cm

53.

Find ∠DFE

a)

11.09°

b)

11.00°

c)

12.00°

54.

Find ∠KLM

a)

27.36°

b)

27.3°

c)

27.4°

55.

Find ∠PQR

a)

94°

b)

88.21°

c)

94.15°

56.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

57.

Find the length of $AC.$
Cari panjang $AC.$

a)

$7.297\ cm$

b)

$8.478\ cm$

c)

$11.0\ cm$

d)

$11.349\ cm$

58.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

59.

Find the length of $BD.$
Cari panjang bagi $BD.$

a)

$5.786\ cm$

b)

$8.578\ cm$

c)

$11.349\ cm$

d)

$12.241\ cm$

60.

$BCD$ is a straight line. Find $\angle ABC.$

$BCD$ ialah garis lurus. Cari $\angle ABC.$

a)

$33\degree39'$

b)

$21\degree46'$

c)

$66\degree42'$

d)

$129\degree16'$

61.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.525\ cm^2$

d)

$64.215\ cm^2$

62.

$ABC$ is a straight line. Find the length of $BC.$
$ABC$ ialah garis lurus. Cari panjang $BC.$

a)

$3.455\ cm$

b)

$3.571\ cm$

c)

$3.745\ cm$

d)

$3.815\ cm$

63.

Find $\angle PQR.$
Cari $\angle PQR.$

a)

$82\degree6'$

b)

$86\degree25'$

c)

$87\degree21'$

d)

$89\degree41'$

64.

Find the value of x

a)

7.5 cm

b)

7.475 cm

c)

7.4 cm

d)

7.574 cm

65.

a)

35.24

b)

32.54

c)

34.25

d)

35.42

66.

Find the value of x

a)

9.946 cm

b)

10.00 cm

c)

9.00 cm

d)

9.649 cm

67.

Using Heron's Formula, find the Area.

a)

56

b)

28

c)

24.2

d)

104.4

68.

What is the Semi-perimeter.

a)

42.1

b)

21.1

c)

14

d)

84.2

69.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

70.

$RST\$ is a straight line. Find $\angle RSU.$
$RST$ ialah garis lurus. Cari $\angle RSU.$

a)

$9\degree14'$

b)

$33\degree39'$

c)

$49\degree20'$

d)

$57\degree15'$

71.

Find the length of $AC.$
Cari panjang $AC.$

a)

$7.297\ cm$

b)

$8.478\ cm$

c)

$11.0\ cm$

d)

$11.349\ cm$

72.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

73.

which is the correct formula to find the area of a triangle?

a)

$\frac{1}{2}ab\sin B$

b)

$\frac{1}{2}ab\sin C$

c)

$\frac{1}{3}ac\sin B$

d)

$\frac{1}{2}bc\cos A$

74.

calculate the area of the triangle

a)

34.48

b)

30.50

c)

24.34

75.

calculate the area of triangle

a)

10.32

b)

12.44

c)

15.49

76.

calculate the area of the kite.

a)

23.21

b)

34.34

c)

46.43

77.

calculate the area of triangle

a)

32.89

b)

11.97

78.

calculate the area of the triangle

a)

10.2

b)

13.4

c)

31.5

79.

we can find the area of the triangle by using formula. (answer might be more than one)

a)

b)

$\frac{1}{2}ab\sin C$

c)

$\frac{1}{2}ac\sin B$

d)

$\frac{1}{2}cc\sin A$

80.

the area of the triangle can be find out by

a)

$\frac{1}{2}\times b\times h$

b)

heron's formula

c)

$\frac{1}{2}\times a\times b\times\sin C$

d)

sine rule

81.

calculate the area of the triangle

a)

30.07

b)

20.05

c)

45.10

82.

Find the length of AB.

a)

9.2041

b)

10.418

c)

10.546

d)

11.020

83.

Find angle P, given angle P is an obtuse angle.

a)

100.56^o

b)

108.45^o

c)

117.79^o

d)

121.34^o

84.

Find angle A

a)

37.91^o

b)

42.45^o

c)

43.54^o

d)

54.67o

85.

Find the length of BC.

a)

7.281cm

b)

7.342cm

c)

8.544cm

d)

9.112cm

86.

Find angle B.

a)

26.77^o

b)

32.56^o

c)

34.50^o

d)

42.45^o

87.

Find area of triangle PQR.

a)

48.459cm²

b)

49.045cm²

c)

50.235cm²

d)

51.607cm²

88.

What rule should you use?

a)

Sine

b)

Cosine

89.

What rule should you use?

a)

Sine

b)

Cosine

90.

When using the sine rule how many parts (fractions) do you need to equate?

a)

All 3 parts

b)

1 part

c)

2 parts

91.

Which of the following formulas is the Cosine rule?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

92.

Find the unknown side length, c.

a)

6.52

b)

6.38

c)

6.91

d)

6.67

93.

Find the missing angle θ

a)

27.9^o

b)

29.2^o

c)

26.8^o

d)

45^o

94.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

95.

Find $\angle PQR.$
Cari $\angle PQR.$

a)

$82\degree6'$

b)

$86\degree25'$

c)

$87\degree21'$

d)

$89\degree41'$

96.

Find $\angle ACB.$
Cari $\angle ACB.$

a)

$16\degree34'$

b)

$16\degree43'$

c)

$16\degree23'$

d)

$16\degree32'$

97.

$ABC$ is a straight line. Find the length of $BC.$
$ABC$ ialah garis lurus. Cari panjang $BC.$

a)

$3.455\ cm$

b)

$3.571\ cm$

c)

$3.745\ cm$

d)

$3.815\ cm$

98.

$PQR$ is a straight line. Find $\angle PQS.$
$PQR$ ialah garis lurus. Cari $\angle PQS.$

a)

$103\degree42'$

b)

$115\degree27'$

c)

$121\degree45'$

d)

$134\degree33'$

99.

Find the length of $AC.$
Cari panjang $AC.$

a)

$3.774\ cm$

b)

$4.721\ cm$

c)

$5.873\ cm$

d)

$6.945\ cm$

100.

Calculate the length of PQ

a)

8.794 cm

b)

12.32 cm

101.

Calculate the length of DE

a)

8.974 cm

b)

10 cm

102.

Calculate the length of KM

a)

11.3 cm

b)

11.2 cm

c)

11.26 cm

103.

Calculate the length of PR

a)

6.5 cm

b)

6.6 cm

c)

6.527 cm

104.

Find ∠KLM

a)

138.64°

b)

137.46°

c)

137°

d)

138°

105.

What is the area of the triangle?

a)

No area can be found

b)

15.574 meters squared

c)

784.621 meters squared

d)

62.08 meters squared

106.

What is the area of this triangle?

a)

14.494 meters squared

b)

108.184 meters squared

c)

54.092 meters squared

d)

54.35 meters squared

107.

Find the value of x

a)

16.12 cm

b)

16.43 cm

c)

16.21 cm

d)

16.15 cm

108.

Find the value of x

a)

9.946 cm

b)

10.00 cm

c)

9.00 cm

d)

9.649 cm

109.

a)

21.56

b)

25.61

c)

26.15

d)

21.65

110.

Which rule could you use to find the side opposite angle B?

a)

cosine rule

b)

sine rule

c)

both sine rule and cosine rule

d)

Pythagorean theorem

111.

Find ∠QPR

a)

36.11°

b)

37.16°

c)

40°

112.

Find ∠DFE

a)

125°

b)

124.46°

c)

124°

113.

Calculate the length of KL

a)

16 cm

b)

15 cm

c)

16.40cm

d)

16.26 cm

114.

Find ∠DFE

a)

11.09°

b)

11.00°

c)

12.00°

115.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

116.

Find the area of this triangle.

Cari luas bagi segitiga ini.

a)

$26.01\ cm^2$

b)

$39.204\ cm^2$

c)

$51.695\ cm^2$

d)

$70.90\ cm^2$

117.

Find ∠PQR

a)

94°

b)

88.21°

c)

94.15°

118.

Calculate the length of PQ

a)

8.794 cm

b)

12.32 cm

119.

Calculate the length of DE

a)

8.974 cm

b)

10 cm

120.

Calculate the length of KM

a)

11.3 cm

b)

11.2 cm

c)

11.26 cm

121.

Calculate the length of PR

a)

6.5 cm

b)

6.6 cm

c)

6.527 cm

122.

Calculate the length of PQ

a)

3.810 cm

b)

3.8 cm

c)

3.712 cm

d)

3.7 cm

123.

Calculate the length of DE

a)

5.2 cm

b)

5.383 cm

c)

5.189 cm

124.

Find ∠KLM

a)

27.36°

b)

27.3°

c)

27.4°

125.

Find ∠DFE

a)

11.09°

b)

11.00°

c)

12.00°

126.

Find ∠DFE

a)

125°

b)

124.46°

c)

124°

127.

Find the value of x

a)

16.12 cm

b)

16.43 cm

c)

16.21 cm

d)

16.15 cm

128.

Find the value of x

a)

7.5 cm

b)

7.475 cm

c)

7.4 cm

d)

7.574 cm

129.

Find the length of LM

a)

4.312 cm

b)

4.213 cm

c)

4.123 cm

130.

a)

6.656 cm

b)

7.667 cm

c)

6.465 cm

131.

a)

83.17°

b)

85.20°

c)

87.13

132.

a)

35.24

b)

32.54

c)

34.25

d)

35.42

133.

a)

21.56

b)

25.61

c)

26.15

d)

21.65

TRIANGLE SOLUTION

Total questions: 133

Worksheet time: 4hrs 33mins

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