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    Hello everyone. I have wasted a lot of time thinking about this question and still havent got anywhere. Please could someone help me!

    Let H1, H2, H3 be closed half planes in R^2 such that S=H1nH2nH3 us bounded where n is the intersection. Prove either that S is the empty set or a simplex. Clearly, if the halfplanes are contructed in such a way, we find we get a 2 simplex, but how do I show this? Thanks!
 
 
 
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