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    Could you help me pelase?

    I have no idea how to solve this problem (unless I use cos and sin rules which lead to pretty tedious several-stages calculations. Too tough for GCSE I think!)

    Perhaps you can help me to find an easier way?
    Thank you a lot in advance.
    L
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    And here it goes.... The problem is:


    Attachment 505751505755
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    the sine and cosine rules are for GCSE
    I think I would use the cosine rule for the first question?
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    Yes, sure they are.

    But when I tried to use them for both questions in this problem, it lead me to several stages, pretty very tedious, and very not straightforward at some points!
    I feel this question is too much for an exam at GCSE level.
    What do you think?

    Can you perhaps outline your solution?
    Maybe I am overcomplicating things?

    Do(es) you(anyone) perhaps see any alternative method?

    Thank you :-)
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    the first one is the cosine rule and is 7.27 and the second is circle theorem of external intersection and equals 4
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    Great! And thank you SO much! :-)
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    If you want a method for the length of AC:
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    Use cosine rule at first, then intersecting chord theorem (circle theorem) for the rest
 
 
 
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