So, i need to proof the triangle inequality ( d(x,y)<=d(x,z)+d(z,y) ) for the distance below(adsbygoogle = window.adsbygoogle || []).push({});

But i'm stuck at

In those fractions i need Xk-Zk and Zk-Yk in the denominators, not Xk-Yk and Xk-Yk. Thanks in advance

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# Help proving triangle inequality for metric spaces

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