P and Q are the mid-points of the sides ...

P and Q are the mid-points of the sides CA and CB respectively of a `triangleABC` , right angled at C, prove that.
(i) `4AQ^(2)=4AC^(2)+BC^(2)` (ii) `4BP^(2)=4BC^(2)+AC^(2)` (iii) `4(AQ^(2)+BP^(2))5AB^(2)`

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