Solving Non Right Triangles

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

• cosine rule
• sine rule
• both sine rule and cosine rule
• Pythagorean theorem

Which could you use to find another angle of the triangle? 

• Cosine rule
• Sine rule
• Pythagorean theorem
• both sine rule and cosine rule

Which rule could you use to find angle K? 

• cosine rule
• sine rule
• both sine rule and cosine rule
• Pythagorean theorem

Which rule could you use to find side p? 

• sine rule
• cosine rule
• both sine rule and cosine rule
• Pythagorean theorem

Which rule would you use to find angle Q?

• sine rule
• cosine rule
• Neither sine rule nor cosine rule
• Pythagorean theorem

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.  

• 9
• 8
• 7
• 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.

• 136⁰
• 96⁰
• 50⁰
• 46⁰

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

• All 3 parts
• 1 part
• 2 parts

Find the length of side b of the triangle with A = 48⁰ ,
a = 11 m,  B = 56^o

• 12 m
• 13 m
• 14 m
• 15 m

Triangle ABC has side a = 3, side b = 5, and side c = 7. Find the size of angle A. 

• 22⁰
• 38⁰
• 120⁰
• 150⁰