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maths
Sine And Cosine Rule
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C
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D
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D
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D
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D
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D
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D
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D
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D
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D
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D
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D
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D
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D
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D
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D
Find the missing angle θ
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27.9o
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29.2o
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26.8o
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45o
Find the missing side x
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6.65cm
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1.74cm
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5.66cm
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7.14cm
Find the missing side x
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60.5mm
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10.3mm
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30.1mm
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58.1mm
Find the missing side x
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6.39cm
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12.7cm
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7.31cm
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8.13cm
Find the missing side x
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30.4cm
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925cm
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42.3cm
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21.9cm
Find the missing side x
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2.36cm
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9.21cm
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3.16cm
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4.51cm
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11.9cm
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16.3cm
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23.6cm
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10.8cm
Find the missing angle θ
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68o
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133o
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116o
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121o
Find the area of the triangle
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27.6m2
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28.0m2
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26.9m2
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26.9cm2
Find the area of the triangle
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72.3cm2
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84.4cm2
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77.9cm2
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78cm2
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
Which could you use to find another angle of the triangle?
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Cosine rule
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Sine rule
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Pythagorean theorem
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both sine rule and cosine rule
Draw the following triangle and label the sides (a,b,c) and their corresponding opposite angles (A,B,C). A = 580, B = 760 and c = 8, use the Sine rule to find the length of side a.
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9
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8
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7
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6
Draw the following triangle and label the sides (a,b,c) and their corresponding opposite angles (A,B,C). A = 580, B = 760 and c = 8, using your diagram decide which rule to use and find the size of angle C.
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1360
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960
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500
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460
Find the size of angle A?
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50 degrees
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60 degrees
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78 degrees
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74 degrees
Find the area of the triangle
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27.6m2
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28.0m2
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26.9m2
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26.9cm2
Which equation is best to use to find the length of the missing side.
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law of sine
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law of cosine
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sine Ɵ =opp / hyp
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a2+b2=c2
What is the area of the triangle ABC?
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29060 m2
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14530 m2
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-18871 m2
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-9436 m2
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
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10.1
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10.0
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10.9
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8.86
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6.99
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6.33
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13.59
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7.83
What is the measure of angle A?
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50 degrees
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60 degrees
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78 degrees
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74 degrees
Which of the following formulas is the Cosine rule?
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c2 = a2 + b2 - 4ac + cosA
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c2 = a2 - b2 - 2abcosC
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c2 = a2 + b2 - 2abcosC
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(cos A)/a = (cos B)/b
We can use SOH-CAH-TOA for...
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Any triangle ever
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Non-right triangles only
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Right Triangles only
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Never
Find the missing angle θ
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27.9o
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29.2o
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26.8o
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45o
Find the missing angle θ
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68o
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133o
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116o
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121o
Find the area of the triangle
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27.6m2
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28.0m2
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26.9m2
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26.9cm2
Find the area of the triangle
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72.3cm2
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84.4cm2
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77.9cm2
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78cm2
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11.9cm
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16.3cm
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23.6cm
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10.8cm
Find the missing side x
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2.36cm
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9.21cm
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3.16cm
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4.51cm
Jack and Jill are considering to buy a land. A surveyor has given the an accurate sketch as shown below. What is the length of the side opposite angle D?
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42 ft
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21 ft
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84 ft
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32 ft
Triangle ABC has side a = 3, side b = 5, and side c =Find the size of angle A.
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220
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380
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1200
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1500
Find the length of AB
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10
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8
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6.1
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4.9
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27.11cm2
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43.2cm2
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41.1cm2
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29.4cm2
Find the length of x.
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5.57
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10.63
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5.32
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9
if a = 3 cm, b = 12 cm, and c = 4 cm, what is the length of d?
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12.65 cm
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5 cm
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13 cm
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12 cm
What information has been given here?
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SSS
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SAS
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SSA
What information has been given here?
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SSS
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SSA
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SSA
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SSA
What information has been given here?
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SSA
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SSA
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SSA
What information has been given here?
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SSA
What information has been given here?
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SSA
What information has been given here?
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SSA
What information has been given here?
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SSA
What information has been given here?
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SSA
What information has been given here?
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SSA
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SSA
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SSA
What information has been given here?
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SSS
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SSA
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
What rule should you use?
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Sine
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Cosine
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10.1
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10.0
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10.9
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8.86
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6.99
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6.33
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13.59
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7.83
What is the measure of angle A?
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50 degrees
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60 degrees
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78 degrees
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74 degrees
When using the sine rule how many parts (fractions) do you need to equate?
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All 3 parts
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1 part
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2 parts
Which rule can be used directly for this triangle?
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The Sine Rule
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The Cosine Rule
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The Area of a Triangle
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Pythagoras' Theorem
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