Mathematics
M and N are the mid-points of the sides QR and PQ respectively of a △ PQR, right-angled at Q. Prove that :
(i) PM2 + RN2 = 5 MN2
(ii) 4 PM2 = 4 PQ2 + QR2
(iii) 4 RN2 = PQ2 + 4 QR2
(iv) 4 (PM2 + RN2) = 5 PR2
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