Q297 · Practice questionTechnology-activeComplex familiar6 marks
QUESTION 297 (6 marks)
In triangle , , cm and cm. Two different triangles are possible.
a)[3 marks]
Determine both possible values of , to .
b)[3 marks]
Determine the corresponding values of , to cm.
WORKED SOLUTION
6 marksPractice marking scheme
ANSWER
a) or . b) cm or cm, respectively.
Worked solution
a) The sine rule gives . Thus or .
b) The corresponding angles are and . Use to obtain cm and cm.
Exact answers unless rounding is specified; equivalent forms accepted.
a) Applies the sine rule.
a) Finds the acute solution.
a) Finds the valid supplementary solution.
b) Determines the two remaining angles.
b) Applies the sine rule for AB.
b) Gives both corresponding lengths.
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