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M and N are the mid-points of the sides ...

M and N are the mid-points of the sides QR and PQ respectively of a `DeltaPQR`, right-angled at Q. Prove that :
(i) `PM^(2)+RN^(2)=5MN^(2)`
(ii) `4PM^(2)=4PQ^(2)+QR^(2)`
(iii) `4RN^(2)=PQ^(2)+4QR^(2)`
(iv) `4(PM^(2)+RN^(2))=5PR^(2)`

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