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Geometry question - urgent -maths olympiad tomorrow watch

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    Hey,

    I am residing in an Asian country and have my olympiad test tomorrow. I am stuck at this question and I think I will get a similar question in the test.

    Would be really grateful for any urgent help!!!

    Many thanx in advance.

    Question:

    2. Let ABC be an equilateral triangle and P be a point inside this triangle such that PA= x , PB=y,
    PC=z. If z 2 = x2 + y2 , find the length of the sides of triangle ABC in terms of x and y.
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    anyone?
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    and yes x2 means x-squared or x to the power 2
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    ??/
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    ???
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    Surely this is just a Pythagoras question? How far have you got?
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    please
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    (Original post by microfatcat)
    Surely this is just a Pythagoras question? How far have you got?
    Thank you for responding. Initially it looks like simple p-theorem question but it isnt... I have used the cosine rule to express the lenghts of the sides but have those angles in the expression...has to be only x and y
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    Look here on question 1. Does that help you?
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    [QUOTE=microfatcat]Look here on question 1. Does that help you?[/

    done that already!! (have been googling for three hours now :P), but thanx for the help anyway..any other ideas?
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    Okay, after trying it myself, I can't come up with anything better than an expressing using the cosine rule Sorry! Gah, I wish I was better at maths. Good luck anyway! Maybe get in early and ask a teacher how to do it?
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    Thanx for the help anyway.
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    people care about this?
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    (Original post by abcdefghijklmnopqrstuvwxyz)
    people care about this?
    yes they do, this question was actually very tricky
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